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Finding the Fourth Proportional to 2,909.42, 4,363.04 and 1,447.80

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Solution

The fourth proportional to 2,909.42, 4,363.04 and 1,447.80 is: 2,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.42 : 4,363.04 = 1,447.80 : x
  2. Step 2: Convert to fraction form
    2,909.42/4,363.04 = 1,447.80/x
  3. Step 3: Cross multiply
    2,909.42x = 4,363.04 × 1,447.80
  4. Step 4: Simplify right side
    2,909.42x = 6,316,809.31
  5. Step 5: Solve for x
    x = 6,316,809.31/2,909.42
  6. Step 6: Final answer
    x = 2,171.16

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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.