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Finding the Fourth Proportional to 8,370.16, 12,557.28 and 3,865.11

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Solution

The fourth proportional to 8,370.16, 12,557.28 and 3,865.11 is: 5,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.16 : 12,557.28 = 3,865.11 : x
  2. Step 2: Convert to fraction form
    8,370.16/12,557.28 = 3,865.11/x
  3. Step 3: Cross multiply
    8,370.16x = 12,557.28 × 3,865.11
  4. Step 4: Simplify right side
    8,370.16x = 48,535,235.91
  5. Step 5: Solve for x
    x = 48,535,235.91/8,370.16
  6. Step 6: Final answer
    x = 5,798.60

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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.