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Finding the Fourth Proportional to 21,057.53, 31,602.79 and 14,691

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Solution

The fourth proportional to 21,057.53, 31,602.79 and 14,691 is: 22,048.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057.53 : 31,602.79 = 14,691 : x
  2. Step 2: Convert to fraction form
    21,057.53/31,602.79 = 14,691/x
  3. Step 3: Cross multiply
    21,057.53x = 31,602.79 × 14,691
  4. Step 4: Simplify right side
    21,057.53x = 464,276,587.89
  5. Step 5: Solve for x
    x = 464,276,587.89/21,057.53
  6. Step 6: Final answer
    x = 22,048.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.