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Finding the Fourth Proportional to 8,465.83, 12,703.30 and 3,538.87

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Solution

The fourth proportional to 8,465.83, 12,703.30 and 3,538.87 is: 5,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.83 : 12,703.30 = 3,538.87 : x
  2. Step 2: Convert to fraction form
    8,465.83/12,703.30 = 3,538.87/x
  3. Step 3: Cross multiply
    8,465.83x = 12,703.30 × 3,538.87
  4. Step 4: Simplify right side
    8,465.83x = 44,955,286.67
  5. Step 5: Solve for x
    x = 44,955,286.67/8,465.83
  6. Step 6: Final answer
    x = 5,310.21

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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.