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Finding the Fourth Proportional to 2,565.47, 3,847.30 and 899.42

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Solution

The fourth proportional to 2,565.47, 3,847.30 and 899.42 is: 1,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.47 : 3,847.30 = 899.42 : x
  2. Step 2: Convert to fraction form
    2,565.47/3,847.30 = 899.42/x
  3. Step 3: Cross multiply
    2,565.47x = 3,847.30 × 899.42
  4. Step 4: Simplify right side
    2,565.47x = 3,460,317.08
  5. Step 5: Solve for x
    x = 3,460,317.08/2,565.47
  6. Step 6: Final answer
    x = 1,348.80

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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.