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Finding the Fourth Proportional to 10,666.71, 15,987.08 and 7,547.62

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Solution

The fourth proportional to 10,666.71, 15,987.08 and 7,547.62 is: 11,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.71 : 15,987.08 = 7,547.62 : x
  2. Step 2: Convert to fraction form
    10,666.71/15,987.08 = 7,547.62/x
  3. Step 3: Cross multiply
    10,666.71x = 15,987.08 × 7,547.62
  4. Step 4: Simplify right side
    10,666.71x = 120,664,401.76
  5. Step 5: Solve for x
    x = 120,664,401.76/10,666.71
  6. Step 6: Final answer
    x = 11,312.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.