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Finding the Fourth Proportional to 7,647.50, 10,557.39 and 7,186.70

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Solution

The fourth proportional to 7,647.50, 10,557.39 and 7,186.70 is: 9,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.50 : 10,557.39 = 7,186.70 : x
  2. Step 2: Convert to fraction form
    7,647.50/10,557.39 = 7,186.70/x
  3. Step 3: Cross multiply
    7,647.50x = 10,557.39 × 7,186.70
  4. Step 4: Simplify right side
    7,647.50x = 75,872,794.71
  5. Step 5: Solve for x
    x = 75,872,794.71/7,647.50
  6. Step 6: Final answer
    x = 9,921.25

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.