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Finding the Fourth Proportional to 22,663, 31,275.30 and 13,238.20

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Solution

The fourth proportional to 22,663, 31,275.30 and 13,238.20 is: 18,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663 : 31,275.30 = 13,238.20 : x
  2. Step 2: Convert to fraction form
    22,663/31,275.30 = 13,238.20/x
  3. Step 3: Cross multiply
    22,663x = 31,275.30 × 13,238.20
  4. Step 4: Simplify right side
    22,663x = 414,028,676.46
  5. Step 5: Solve for x
    x = 414,028,676.46/22,663
  6. Step 6: Final answer
    x = 18,268.93

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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.