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Finding the Fourth Proportional to 10,530.97, 14,532.45 and 5,815.15

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Solution

The fourth proportional to 10,530.97, 14,532.45 and 5,815.15 is: 8,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.97 : 14,532.45 = 5,815.15 : x
  2. Step 2: Convert to fraction form
    10,530.97/14,532.45 = 5,815.15/x
  3. Step 3: Cross multiply
    10,530.97x = 14,532.45 × 5,815.15
  4. Step 4: Simplify right side
    10,530.97x = 84,508,376.62
  5. Step 5: Solve for x
    x = 84,508,376.62/10,530.97
  6. Step 6: Final answer
    x = 8,024.75

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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.