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Finding the Fourth Proportional to 10,616.62, 15,925.05 and 3,221.02

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Solution

The fourth proportional to 10,616.62, 15,925.05 and 3,221.02 is: 4,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.62 : 15,925.05 = 3,221.02 : x
  2. Step 2: Convert to fraction form
    10,616.62/15,925.05 = 3,221.02/x
  3. Step 3: Cross multiply
    10,616.62x = 15,925.05 × 3,221.02
  4. Step 4: Simplify right side
    10,616.62x = 51,294,904.55
  5. Step 5: Solve for x
    x = 51,294,904.55/10,616.62
  6. Step 6: Final answer
    x = 4,831.57

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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.