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Finding the Fourth Proportional to 12,470, 17,208.60 and 7,502

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Solution

The fourth proportional to 12,470, 17,208.60 and 7,502 is: 10,352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470 : 17,208.60 = 7,502 : x
  2. Step 2: Convert to fraction form
    12,470/17,208.60 = 7,502/x
  3. Step 3: Cross multiply
    12,470x = 17,208.60 × 7,502
  4. Step 4: Simplify right side
    12,470x = 129,098,917.20
  5. Step 5: Solve for x
    x = 129,098,917.20/12,470
  6. Step 6: Final answer
    x = 10,352.76

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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.