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Finding the Fourth Proportional to 5,478.32, 8,199.48 and 4,953.20

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Solution

The fourth proportional to 5,478.32, 8,199.48 and 4,953.20 is: 7,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.32 : 8,199.48 = 4,953.20 : x
  2. Step 2: Convert to fraction form
    5,478.32/8,199.48 = 4,953.20/x
  3. Step 3: Cross multiply
    5,478.32x = 8,199.48 × 4,953.20
  4. Step 4: Simplify right side
    5,478.32x = 40,613,664.34
  5. Step 5: Solve for x
    x = 40,613,664.34/5,478.32
  6. Step 6: Final answer
    x = 7,413.53

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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.