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Finding the Fourth Proportional to 8,405.47, 11,599.50 and 4,868.61

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Solution

The fourth proportional to 8,405.47, 11,599.50 and 4,868.61 is: 6,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.47 : 11,599.50 = 4,868.61 : x
  2. Step 2: Convert to fraction form
    8,405.47/11,599.50 = 4,868.61/x
  3. Step 3: Cross multiply
    8,405.47x = 11,599.50 × 4,868.61
  4. Step 4: Simplify right side
    8,405.47x = 56,473,441.70
  5. Step 5: Solve for x
    x = 56,473,441.70/8,405.47
  6. Step 6: Final answer
    x = 6,718.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.