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Finding the Fourth Proportional to 5,391.16, 8,078.04 and 4,242.04

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Solution

The fourth proportional to 5,391.16, 8,078.04 and 4,242.04 is: 6,356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,391.16 : 8,078.04 = 4,242.04 : x
  2. Step 2: Convert to fraction form
    5,391.16/8,078.04 = 4,242.04/x
  3. Step 3: Cross multiply
    5,391.16x = 8,078.04 × 4,242.04
  4. Step 4: Simplify right side
    5,391.16x = 34,267,368.80
  5. Step 5: Solve for x
    x = 34,267,368.80/5,391.16
  6. Step 6: Final answer
    x = 6,356.21

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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.