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Finding the Fourth Proportional to 5,368.71, 7,407.31 and 3,480.38

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Solution

The fourth proportional to 5,368.71, 7,407.31 and 3,480.38 is: 4,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.71 : 7,407.31 = 3,480.38 : x
  2. Step 2: Convert to fraction form
    5,368.71/7,407.31 = 3,480.38/x
  3. Step 3: Cross multiply
    5,368.71x = 7,407.31 × 3,480.38
  4. Step 4: Simplify right side
    5,368.71x = 25,780,211.52
  5. Step 5: Solve for x
    x = 25,780,211.52/5,368.71
  6. Step 6: Final answer
    x = 4,801.93

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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.