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Finding the Fourth Proportional to 7,116.80, 9,978.10 and 7,116.80

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Solution

The fourth proportional to 7,116.80, 9,978.10 and 7,116.80 is: 9,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.80 : 9,978.10 = 7,116.80 : x
  2. Step 2: Convert to fraction form
    7,116.80/9,978.10 = 7,116.80/x
  3. Step 3: Cross multiply
    7,116.80x = 9,978.10 × 7,116.80
  4. Step 4: Simplify right side
    7,116.80x = 71,012,142.08
  5. Step 5: Solve for x
    x = 71,012,142.08/7,116.80
  6. Step 6: Final answer
    x = 9,978.10

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Half scale
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Double scale
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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.