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Finding the Fourth Proportional to 5,643.92, 8,465.78 and 1,539.92

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Solution

The fourth proportional to 5,643.92, 8,465.78 and 1,539.92 is: 2,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.92 : 8,465.78 = 1,539.92 : x
  2. Step 2: Convert to fraction form
    5,643.92/8,465.78 = 1,539.92/x
  3. Step 3: Cross multiply
    5,643.92x = 8,465.78 × 1,539.92
  4. Step 4: Simplify right side
    5,643.92x = 13,036,623.94
  5. Step 5: Solve for x
    x = 13,036,623.94/5,643.92
  6. Step 6: Final answer
    x = 2,309.85

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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.