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Finding the Fourth Proportional to 23,135.32, 34,702.98 and 13,280.86

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Solution

The fourth proportional to 23,135.32, 34,702.98 and 13,280.86 is: 19,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,135.32 : 34,702.98 = 13,280.86 : x
  2. Step 2: Convert to fraction form
    23,135.32/34,702.98 = 13,280.86/x
  3. Step 3: Cross multiply
    23,135.32x = 34,702.98 × 13,280.86
  4. Step 4: Simplify right side
    23,135.32x = 460,885,418.96
  5. Step 5: Solve for x
    x = 460,885,418.96/23,135.32
  6. Step 6: Final answer
    x = 19,921.29

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