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Finding the Fourth Proportional to 5,445.66, 8,164.71 and 2,981.64

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Solution

The fourth proportional to 5,445.66, 8,164.71 and 2,981.64 is: 4,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,445.66 : 8,164.71 = 2,981.64 : x
  2. Step 2: Convert to fraction form
    5,445.66/8,164.71 = 2,981.64/x
  3. Step 3: Cross multiply
    5,445.66x = 8,164.71 × 2,981.64
  4. Step 4: Simplify right side
    5,445.66x = 24,344,225.92
  5. Step 5: Solve for x
    x = 24,344,225.92/5,445.66
  6. Step 6: Final answer
    x = 4,470.39

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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.