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Finding the Fourth Proportional to 8,894.31, 12,264.93 and 7,639.52

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Solution

The fourth proportional to 8,894.31, 12,264.93 and 7,639.52 is: 10,534.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.31 : 12,264.93 = 7,639.52 : x
  2. Step 2: Convert to fraction form
    8,894.31/12,264.93 = 7,639.52/x
  3. Step 3: Cross multiply
    8,894.31x = 12,264.93 × 7,639.52
  4. Step 4: Simplify right side
    8,894.31x = 93,698,116.71
  5. Step 5: Solve for x
    x = 93,698,116.71/8,894.31
  6. Step 6: Final answer
    x = 10,534.61

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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.