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Finding the Fourth Proportional to 7,130.80, 9,997.70 and 7,130.80

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Solution

The fourth proportional to 7,130.80, 9,997.70 and 7,130.80 is: 9,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.80 : 9,997.70 = 7,130.80 : x
  2. Step 2: Convert to fraction form
    7,130.80/9,997.70 = 7,130.80/x
  3. Step 3: Cross multiply
    7,130.80x = 9,997.70 × 7,130.80
  4. Step 4: Simplify right side
    7,130.80x = 71,291,599.16
  5. Step 5: Solve for x
    x = 71,291,599.16/7,130.80
  6. Step 6: Final answer
    x = 9,997.70

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Half scale
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Double scale
Find fourth proportional to 7,131.80, 9,999.10 and 7,131.80
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.