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Finding the Fourth Proportional to 10,001.52, 14,931.84 and 7,649.28

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Solution

The fourth proportional to 10,001.52, 14,931.84 and 7,649.28 is: 11,420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.52 : 14,931.84 = 7,649.28 : x
  2. Step 2: Convert to fraction form
    10,001.52/14,931.84 = 7,649.28/x
  3. Step 3: Cross multiply
    10,001.52x = 14,931.84 × 7,649.28
  4. Step 4: Simplify right side
    10,001.52x = 114,217,825.08
  5. Step 5: Solve for x
    x = 114,217,825.08/10,001.52
  6. Step 6: Final answer
    x = 11,420.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.