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Finding the Fourth Proportional to 5,443, 8,167.72 and 1,980.52

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Solution

The fourth proportional to 5,443, 8,167.72 and 1,980.52 is: 2,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443 : 8,167.72 = 1,980.52 : x
  2. Step 2: Convert to fraction form
    5,443/8,167.72 = 1,980.52/x
  3. Step 3: Cross multiply
    5,443x = 8,167.72 × 1,980.52
  4. Step 4: Simplify right side
    5,443x = 16,176,332.81
  5. Step 5: Solve for x
    x = 16,176,332.81/5,443
  6. Step 6: Final answer
    x = 2,971.95

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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.