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Finding the Fourth Proportional to 8,291.61, 12,442.28 and 5,658.30

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Solution

The fourth proportional to 8,291.61, 12,442.28 and 5,658.30 is: 8,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.61 : 12,442.28 = 5,658.30 : x
  2. Step 2: Convert to fraction form
    8,291.61/12,442.28 = 5,658.30/x
  3. Step 3: Cross multiply
    8,291.61x = 12,442.28 × 5,658.30
  4. Step 4: Simplify right side
    8,291.61x = 70,402,124.63
  5. Step 5: Solve for x
    x = 70,402,124.63/8,291.61
  6. Step 6: Final answer
    x = 8,490.77

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1.5x scale

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.