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Finding the Fourth Proportional to 7,543.60, 10,408.80 and 4,356.16

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Solution

The fourth proportional to 7,543.60, 10,408.80 and 4,356.16 is: 6,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.60 : 10,408.80 = 4,356.16 : x
  2. Step 2: Convert to fraction form
    7,543.60/10,408.80 = 4,356.16/x
  3. Step 3: Cross multiply
    7,543.60x = 10,408.80 × 4,356.16
  4. Step 4: Simplify right side
    7,543.60x = 45,342,398.21
  5. Step 5: Solve for x
    x = 45,342,398.21/7,543.60
  6. Step 6: Final answer
    x = 6,010.71

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1.5x scale

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.