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Finding the Fourth Proportional to 8,391.69, 12,582 and 4,694.31

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Solution

The fourth proportional to 8,391.69, 12,582 and 4,694.31 is: 7,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.69 : 12,582 = 4,694.31 : x
  2. Step 2: Convert to fraction form
    8,391.69/12,582 = 4,694.31/x
  3. Step 3: Cross multiply
    8,391.69x = 12,582 × 4,694.31
  4. Step 4: Simplify right side
    8,391.69x = 59,063,808.42
  5. Step 5: Solve for x
    x = 59,063,808.42/8,391.69
  6. Step 6: Final answer
    x = 7,038.37

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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.