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Finding the Fourth Proportional to 5,377, 7,420.08 and 2,986.90

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Solution

The fourth proportional to 5,377, 7,420.08 and 2,986.90 is: 4,121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377 : 7,420.08 = 2,986.90 : x
  2. Step 2: Convert to fraction form
    5,377/7,420.08 = 2,986.90/x
  3. Step 3: Cross multiply
    5,377x = 7,420.08 × 2,986.90
  4. Step 4: Simplify right side
    5,377x = 22,163,036.95
  5. Step 5: Solve for x
    x = 22,163,036.95/5,377
  6. Step 6: Final answer
    x = 4,121.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.