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Finding the Fourth Proportional to 22,988.72, 31,713.72 and 14,486.96

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Solution

The fourth proportional to 22,988.72, 31,713.72 and 14,486.96 is: 19,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,988.72 : 31,713.72 = 14,486.96 : x
  2. Step 2: Convert to fraction form
    22,988.72/31,713.72 = 14,486.96/x
  3. Step 3: Cross multiply
    22,988.72x = 31,713.72 × 14,486.96
  4. Step 4: Simplify right side
    22,988.72x = 459,435,393.09
  5. Step 5: Solve for x
    x = 459,435,393.09/22,988.72
  6. Step 6: Final answer
    x = 19,985.25

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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.