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Finding the Fourth Proportional to 8,355.64, 12,535.62 and 4,459

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Solution

The fourth proportional to 8,355.64, 12,535.62 and 4,459 is: 6,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.64 : 12,535.62 = 4,459 : x
  2. Step 2: Convert to fraction form
    8,355.64/12,535.62 = 4,459/x
  3. Step 3: Cross multiply
    8,355.64x = 12,535.62 × 4,459
  4. Step 4: Simplify right side
    8,355.64x = 55,896,329.58
  5. Step 5: Solve for x
    x = 55,896,329.58/8,355.64
  6. Step 6: Final answer
    x = 6,689.65

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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.