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Finding the Fourth Proportional to 5,875.60, 8,104.08 and 4,990

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Solution

The fourth proportional to 5,875.60, 8,104.08 and 4,990 is: 6,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.60 : 8,104.08 = 4,990 : x
  2. Step 2: Convert to fraction form
    5,875.60/8,104.08 = 4,990/x
  3. Step 3: Cross multiply
    5,875.60x = 8,104.08 × 4,990
  4. Step 4: Simplify right side
    5,875.60x = 40,439,359.20
  5. Step 5: Solve for x
    x = 40,439,359.20/5,875.60
  6. Step 6: Final answer
    x = 6,882.59

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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.