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Finding the Fourth Proportional to 5,368.85, 7,409.15 and 2,978.86

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Solution

The fourth proportional to 5,368.85, 7,409.15 and 2,978.86 is: 4,110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.85 : 7,409.15 = 2,978.86 : x
  2. Step 2: Convert to fraction form
    5,368.85/7,409.15 = 2,978.86/x
  3. Step 3: Cross multiply
    5,368.85x = 7,409.15 × 2,978.86
  4. Step 4: Simplify right side
    5,368.85x = 22,070,820.57
  5. Step 5: Solve for x
    x = 22,070,820.57/5,368.85
  6. Step 6: Final answer
    x = 4,110.90

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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.