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Finding the Fourth Proportional to 22,773.68, 31,430.80 and 13,346

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Solution

The fourth proportional to 22,773.68, 31,430.80 and 13,346 is: 18,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.68 : 31,430.80 = 13,346 : x
  2. Step 2: Convert to fraction form
    22,773.68/31,430.80 = 13,346/x
  3. Step 3: Cross multiply
    22,773.68x = 31,430.80 × 13,346
  4. Step 4: Simplify right side
    22,773.68x = 419,475,456.80
  5. Step 5: Solve for x
    x = 419,475,456.80/22,773.68
  6. Step 6: Final answer
    x = 18,419.31

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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.