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Finding the Fourth Proportional to 8,357.42, 12,541.42 and 3,091.87

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Solution

The fourth proportional to 8,357.42, 12,541.42 and 3,091.87 is: 4,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.42 : 12,541.42 = 3,091.87 : x
  2. Step 2: Convert to fraction form
    8,357.42/12,541.42 = 3,091.87/x
  3. Step 3: Cross multiply
    8,357.42x = 12,541.42 × 3,091.87
  4. Step 4: Simplify right side
    8,357.42x = 38,776,455.45
  5. Step 5: Solve for x
    x = 38,776,455.45/8,357.42
  6. Step 6: Final answer
    x = 4,639.77

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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.