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Finding the Fourth Proportional to 8,391.70, 12,582 and 4,694.32

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Solution

The fourth proportional to 8,391.70, 12,582 and 4,694.32 is: 7,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.70 : 12,582 = 4,694.32 : x
  2. Step 2: Convert to fraction form
    8,391.70/12,582 = 4,694.32/x
  3. Step 3: Cross multiply
    8,391.70x = 12,582 × 4,694.32
  4. Step 4: Simplify right side
    8,391.70x = 59,063,934.24
  5. Step 5: Solve for x
    x = 59,063,934.24/8,391.70
  6. Step 6: Final answer
    x = 7,038.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.