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Finding the Fourth Proportional to 22,857.48, 34,257.96 and 13,488

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Solution

The fourth proportional to 22,857.48, 34,257.96 and 13,488 is: 20,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.48 : 34,257.96 = 13,488 : x
  2. Step 2: Convert to fraction form
    22,857.48/34,257.96 = 13,488/x
  3. Step 3: Cross multiply
    22,857.48x = 34,257.96 × 13,488
  4. Step 4: Simplify right side
    22,857.48x = 462,071,364.48
  5. Step 5: Solve for x
    x = 462,071,364.48/22,857.48
  6. Step 6: Final answer
    x = 20,215.32

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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.