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Finding the Fourth Proportional to 12,584.57, 18,877.42 and 8,903.25

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Solution

The fourth proportional to 12,584.57, 18,877.42 and 8,903.25 is: 13,355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.57 : 18,877.42 = 8,903.25 : x
  2. Step 2: Convert to fraction form
    12,584.57/18,877.42 = 8,903.25/x
  3. Step 3: Cross multiply
    12,584.57x = 18,877.42 × 8,903.25
  4. Step 4: Simplify right side
    12,584.57x = 168,070,400.74
  5. Step 5: Solve for x
    x = 168,070,400.74/12,584.57
  6. Step 6: Final answer
    x = 13,355.28

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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.