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Finding the Fourth Proportional to 5,405.76, 8,095.52 and 4,977.92

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Solution

The fourth proportional to 5,405.76, 8,095.52 and 4,977.92 is: 7,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.76 : 8,095.52 = 4,977.92 : x
  2. Step 2: Convert to fraction form
    5,405.76/8,095.52 = 4,977.92/x
  3. Step 3: Cross multiply
    5,405.76x = 8,095.52 × 4,977.92
  4. Step 4: Simplify right side
    5,405.76x = 40,298,850.92
  5. Step 5: Solve for x
    x = 40,298,850.92/5,405.76
  6. Step 6: Final answer
    x = 7,454.80

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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.