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Finding the Fourth Proportional to 8,472.40, 11,690.19 and 5,487.82

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Solution

The fourth proportional to 8,472.40, 11,690.19 and 5,487.82 is: 7,572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.40 : 11,690.19 = 5,487.82 : x
  2. Step 2: Convert to fraction form
    8,472.40/11,690.19 = 5,487.82/x
  3. Step 3: Cross multiply
    8,472.40x = 11,690.19 × 5,487.82
  4. Step 4: Simplify right side
    8,472.40x = 64,153,629.26
  5. Step 5: Solve for x
    x = 64,153,629.26/8,472.40
  6. Step 6: Final answer
    x = 7,572.07

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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.