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Finding the Fourth Proportional to 22,774.40, 31,432.56 and 13,348.16

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Solution

The fourth proportional to 22,774.40, 31,432.56 and 13,348.16 is: 18,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.40 : 31,432.56 = 13,348.16 : x
  2. Step 2: Convert to fraction form
    22,774.40/31,432.56 = 13,348.16/x
  3. Step 3: Cross multiply
    22,774.40x = 31,432.56 × 13,348.16
  4. Step 4: Simplify right side
    22,774.40x = 419,566,840.09
  5. Step 5: Solve for x
    x = 419,566,840.09/22,774.40
  6. Step 6: Final answer
    x = 18,422.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.