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Finding the Fourth Proportional to 12,510, 17,264.60 and 7,204.70

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Solution

The fourth proportional to 12,510, 17,264.60 and 7,204.70 is: 9,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,510 : 17,264.60 = 7,204.70 : x
  2. Step 2: Convert to fraction form
    12,510/17,264.60 = 7,204.70/x
  3. Step 3: Cross multiply
    12,510x = 17,264.60 × 7,204.70
  4. Step 4: Simplify right side
    12,510x = 124,386,263.62
  5. Step 5: Solve for x
    x = 124,386,263.62/12,510
  6. Step 6: Final answer
    x = 9,942.95

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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.