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Finding the Fourth Proportional to 9,012, 13,518 and 2,856

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Solution

The fourth proportional to 9,012, 13,518 and 2,856 is: 4,284

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012 : 13,518 = 2,856 : x
  2. Step 2: Convert to fraction form
    9,012/13,518 = 2,856/x
  3. Step 3: Cross multiply
    9,012x = 13,518 × 2,856
  4. Step 4: Simplify right side
    9,012x = 38,607,408
  5. Step 5: Solve for x
    x = 38,607,408/9,012
  6. Step 6: Final answer
    x = 4,284

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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.