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Finding the Fourth Proportional to 8,262, 12,390.57 and 2,417.22

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Solution

The fourth proportional to 8,262, 12,390.57 and 2,417.22 is: 3,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262 : 12,390.57 = 2,417.22 : x
  2. Step 2: Convert to fraction form
    8,262/12,390.57 = 2,417.22/x
  3. Step 3: Cross multiply
    8,262x = 12,390.57 × 2,417.22
  4. Step 4: Simplify right side
    8,262x = 29,950,733.62
  5. Step 5: Solve for x
    x = 29,950,733.62/8,262
  6. Step 6: Final answer
    x = 3,625.12

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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.