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Finding the Fourth Proportional to 12,474.60, 18,702.54 and 7,543.23

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Solution

The fourth proportional to 12,474.60, 18,702.54 and 7,543.23 is: 11,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.60 : 18,702.54 = 7,543.23 : x
  2. Step 2: Convert to fraction form
    12,474.60/18,702.54 = 7,543.23/x
  3. Step 3: Cross multiply
    12,474.60x = 18,702.54 × 7,543.23
  4. Step 4: Simplify right side
    12,474.60x = 141,077,560.80
  5. Step 5: Solve for x
    x = 141,077,560.80/12,474.60
  6. Step 6: Final answer
    x = 11,309.19

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1.5x scale

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.