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Finding the Fourth Proportional to 8,468.70, 12,710.93 and 4,311.82

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Solution

The fourth proportional to 8,468.70, 12,710.93 and 4,311.82 is: 6,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.70 : 12,710.93 = 4,311.82 : x
  2. Step 2: Convert to fraction form
    8,468.70/12,710.93 = 4,311.82/x
  3. Step 3: Cross multiply
    8,468.70x = 12,710.93 × 4,311.82
  4. Step 4: Simplify right side
    8,468.70x = 54,807,242.19
  5. Step 5: Solve for x
    x = 54,807,242.19/8,468.70
  6. Step 6: Final answer
    x = 6,471.74

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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.