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Finding the Fourth Proportional to 12,901.71, 17,764.63 and 11,299.12

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Solution

The fourth proportional to 12,901.71, 17,764.63 and 11,299.12 is: 15,557.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.71 : 17,764.63 = 11,299.12 : x
  2. Step 2: Convert to fraction form
    12,901.71/17,764.63 = 11,299.12/x
  3. Step 3: Cross multiply
    12,901.71x = 17,764.63 × 11,299.12
  4. Step 4: Simplify right side
    12,901.71x = 200,724,686.13
  5. Step 5: Solve for x
    x = 200,724,686.13/12,901.71
  6. Step 6: Final answer
    x = 15,557.99

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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.