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Finding the Fourth Proportional to 12,585.60, 17,370 and 7,280.64

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Solution

The fourth proportional to 12,585.60, 17,370 and 7,280.64 is: 10,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.60 : 17,370 = 7,280.64 : x
  2. Step 2: Convert to fraction form
    12,585.60/17,370 = 7,280.64/x
  3. Step 3: Cross multiply
    12,585.60x = 17,370 × 7,280.64
  4. Step 4: Simplify right side
    12,585.60x = 126,464,716.80
  5. Step 5: Solve for x
    x = 126,464,716.80/12,585.60
  6. Step 6: Final answer
    x = 10,048.37

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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.