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Finding the Fourth Proportional to 5,478.38, 7,541.16 and 4,778.54

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Solution

The fourth proportional to 5,478.38, 7,541.16 and 4,778.54 is: 6,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.38 : 7,541.16 = 4,778.54 : x
  2. Step 2: Convert to fraction form
    5,478.38/7,541.16 = 4,778.54/x
  3. Step 3: Cross multiply
    5,478.38x = 7,541.16 × 4,778.54
  4. Step 4: Simplify right side
    5,478.38x = 36,035,734.71
  5. Step 5: Solve for x
    x = 36,035,734.71/5,478.38
  6. Step 6: Final answer
    x = 6,577.81

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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.