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Finding the Fourth Proportional to 8,142, 11,236.44 and 4,957.52

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Solution

The fourth proportional to 8,142, 11,236.44 and 4,957.52 is: 6,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 11,236.44 = 4,957.52 : x
  2. Step 2: Convert to fraction form
    8,142/11,236.44 = 4,957.52/x
  3. Step 3: Cross multiply
    8,142x = 11,236.44 × 4,957.52
  4. Step 4: Simplify right side
    8,142x = 55,704,876.03
  5. Step 5: Solve for x
    x = 55,704,876.03/8,142
  6. Step 6: Final answer
    x = 6,841.67

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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.