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Finding the Fourth Proportional to 5,148.76, 7,723.16 and 3,616.60

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Solution

The fourth proportional to 5,148.76, 7,723.16 and 3,616.60 is: 5,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.76 : 7,723.16 = 3,616.60 : x
  2. Step 2: Convert to fraction form
    5,148.76/7,723.16 = 3,616.60/x
  3. Step 3: Cross multiply
    5,148.76x = 7,723.16 × 3,616.60
  4. Step 4: Simplify right side
    5,148.76x = 27,931,580.46
  5. Step 5: Solve for x
    x = 27,931,580.46/5,148.76
  6. Step 6: Final answer
    x = 5,424.91

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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.