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Finding the Fourth Proportional to 12,562, 17,335.78 and 6,897.28

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Solution

The fourth proportional to 12,562, 17,335.78 and 6,897.28 is: 9,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562 : 17,335.78 = 6,897.28 : x
  2. Step 2: Convert to fraction form
    12,562/17,335.78 = 6,897.28/x
  3. Step 3: Cross multiply
    12,562x = 17,335.78 × 6,897.28
  4. Step 4: Simplify right side
    12,562x = 119,569,728.68
  5. Step 5: Solve for x
    x = 119,569,728.68/12,562
  6. Step 6: Final answer
    x = 9,518.37

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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.