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Finding the Fourth Proportional to 12,560, 17,332.80 and 6,971.52

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Solution

The fourth proportional to 12,560, 17,332.80 and 6,971.52 is: 9,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,560 : 17,332.80 = 6,971.52 : x
  2. Step 2: Convert to fraction form
    12,560/17,332.80 = 6,971.52/x
  3. Step 3: Cross multiply
    12,560x = 17,332.80 × 6,971.52
  4. Step 4: Simplify right side
    12,560x = 120,835,961.86
  5. Step 5: Solve for x
    x = 120,835,961.86/12,560
  6. Step 6: Final answer
    x = 9,620.70

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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.