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Finding the Fourth Proportional to 5,414.40, 7,430.40 and 5,068.80

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Solution

The fourth proportional to 5,414.40, 7,430.40 and 5,068.80 is: 6,956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.40 : 7,430.40 = 5,068.80 : x
  2. Step 2: Convert to fraction form
    5,414.40/7,430.40 = 5,068.80/x
  3. Step 3: Cross multiply
    5,414.40x = 7,430.40 × 5,068.80
  4. Step 4: Simplify right side
    5,414.40x = 37,663,211.52
  5. Step 5: Solve for x
    x = 37,663,211.52/5,414.40
  6. Step 6: Final answer
    x = 6,956.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.