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Finding the Fourth Proportional to 5,641.92, 8,464.80 and 2,904

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Solution

The fourth proportional to 5,641.92, 8,464.80 and 2,904 is: 4,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.92 : 8,464.80 = 2,904 : x
  2. Step 2: Convert to fraction form
    5,641.92/8,464.80 = 2,904/x
  3. Step 3: Cross multiply
    5,641.92x = 8,464.80 × 2,904
  4. Step 4: Simplify right side
    5,641.92x = 24,581,779.20
  5. Step 5: Solve for x
    x = 24,581,779.20/5,641.92
  6. Step 6: Final answer
    x = 4,356.99

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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.