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Finding the Fourth Proportional to 8,402.52, 12,603.15 and 2,856

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Solution

The fourth proportional to 8,402.52, 12,603.15 and 2,856 is: 4,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.52 : 12,603.15 = 2,856 : x
  2. Step 2: Convert to fraction form
    8,402.52/12,603.15 = 2,856/x
  3. Step 3: Cross multiply
    8,402.52x = 12,603.15 × 2,856
  4. Step 4: Simplify right side
    8,402.52x = 35,994,596.40
  5. Step 5: Solve for x
    x = 35,994,596.40/8,402.52
  6. Step 6: Final answer
    x = 4,283.79

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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.