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Finding the Fourth Proportional to 12,930.74, 17,842.97 and 7,264.35

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Solution

The fourth proportional to 12,930.74, 17,842.97 and 7,264.35 is: 10,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.74 : 17,842.97 = 7,264.35 : x
  2. Step 2: Convert to fraction form
    12,930.74/17,842.97 = 7,264.35/x
  3. Step 3: Cross multiply
    12,930.74x = 17,842.97 × 7,264.35
  4. Step 4: Simplify right side
    12,930.74x = 129,617,453.58
  5. Step 5: Solve for x
    x = 129,617,453.58/12,930.74
  6. Step 6: Final answer
    x = 10,023.98

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1.5x scale

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.