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Finding the Fourth Proportional to 12,101.28, 16,700.40 and 7,385.28

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Solution

The fourth proportional to 12,101.28, 16,700.40 and 7,385.28 is: 10,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.28 : 16,700.40 = 7,385.28 : x
  2. Step 2: Convert to fraction form
    12,101.28/16,700.40 = 7,385.28/x
  3. Step 3: Cross multiply
    12,101.28x = 16,700.40 × 7,385.28
  4. Step 4: Simplify right side
    12,101.28x = 123,337,130.11
  5. Step 5: Solve for x
    x = 123,337,130.11/12,101.28
  6. Step 6: Final answer
    x = 10,192.07

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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.