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Finding the Fourth Proportional to 8,400.34, 12,601.22 and 2,557

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Solution

The fourth proportional to 8,400.34, 12,601.22 and 2,557 is: 3,835.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.34 : 12,601.22 = 2,557 : x
  2. Step 2: Convert to fraction form
    8,400.34/12,601.22 = 2,557/x
  3. Step 3: Cross multiply
    8,400.34x = 12,601.22 × 2,557
  4. Step 4: Simplify right side
    8,400.34x = 32,221,319.54
  5. Step 5: Solve for x
    x = 32,221,319.54/8,400.34
  6. Step 6: Final answer
    x = 3,835.72

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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.