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Finding the Fourth Proportional to 14,454.77, 21,702.02 and 7,440.57

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Solution

The fourth proportional to 14,454.77, 21,702.02 and 7,440.57 is: 11,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.77 : 21,702.02 = 7,440.57 : x
  2. Step 2: Convert to fraction form
    14,454.77/21,702.02 = 7,440.57/x
  3. Step 3: Cross multiply
    14,454.77x = 21,702.02 × 7,440.57
  4. Step 4: Simplify right side
    14,454.77x = 161,475,361.75
  5. Step 5: Solve for x
    x = 161,475,361.75/14,454.77
  6. Step 6: Final answer
    x = 11,171.08

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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.