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Finding the Fourth Proportional to 14,472.81, 19,965.78 and 10,002.78

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Solution

The fourth proportional to 14,472.81, 19,965.78 and 10,002.78 is: 13,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.81 : 19,965.78 = 10,002.78 : x
  2. Step 2: Convert to fraction form
    14,472.81/19,965.78 = 10,002.78/x
  3. Step 3: Cross multiply
    14,472.81x = 19,965.78 × 10,002.78
  4. Step 4: Simplify right side
    14,472.81x = 199,713,304.87
  5. Step 5: Solve for x
    x = 199,713,304.87/14,472.81
  6. Step 6: Final answer
    x = 13,799.21

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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.