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Finding the Fourth Proportional to 8,417.76, 12,631.54 and 3,156.48

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Solution

The fourth proportional to 8,417.76, 12,631.54 and 3,156.48 is: 4,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.76 : 12,631.54 = 3,156.48 : x
  2. Step 2: Convert to fraction form
    8,417.76/12,631.54 = 3,156.48/x
  3. Step 3: Cross multiply
    8,417.76x = 12,631.54 × 3,156.48
  4. Step 4: Simplify right side
    8,417.76x = 39,871,203.38
  5. Step 5: Solve for x
    x = 39,871,203.38/8,417.76
  6. Step 6: Final answer
    x = 4,736.56

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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.