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Finding the Fourth Proportional to 14,689.91, 20,243.99 and 14,419.98

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Solution

The fourth proportional to 14,689.91, 20,243.99 and 14,419.98 is: 19,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.91 : 20,243.99 = 14,419.98 : x
  2. Step 2: Convert to fraction form
    14,689.91/20,243.99 = 14,419.98/x
  3. Step 3: Cross multiply
    14,689.91x = 20,243.99 × 14,419.98
  4. Step 4: Simplify right side
    14,689.91x = 291,917,966.97
  5. Step 5: Solve for x
    x = 291,917,966.97/14,689.91
  6. Step 6: Final answer
    x = 19,872.00

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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.