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Finding the Fourth Proportional to 12,512.60, 17,267.64 and 7,482

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Solution

The fourth proportional to 12,512.60, 17,267.64 and 7,482 is: 10,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,512.60 : 17,267.64 = 7,482 : x
  2. Step 2: Convert to fraction form
    12,512.60/17,267.64 = 7,482/x
  3. Step 3: Cross multiply
    12,512.60x = 17,267.64 × 7,482
  4. Step 4: Simplify right side
    12,512.60x = 129,196,482.48
  5. Step 5: Solve for x
    x = 129,196,482.48/12,512.60
  6. Step 6: Final answer
    x = 10,325.31

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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.