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Finding the Fourth Proportional to 5,442.84, 8,167.68 and 1,980

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Solution

The fourth proportional to 5,442.84, 8,167.68 and 1,980 is: 2,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.84 : 8,167.68 = 1,980 : x
  2. Step 2: Convert to fraction form
    5,442.84/8,167.68 = 1,980/x
  3. Step 3: Cross multiply
    5,442.84x = 8,167.68 × 1,980
  4. Step 4: Simplify right side
    5,442.84x = 16,172,006.40
  5. Step 5: Solve for x
    x = 16,172,006.40/5,442.84
  6. Step 6: Final answer
    x = 2,971.24

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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.