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Finding the Fourth Proportional to 9,486, 14,229 and 2,560.50

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Solution

The fourth proportional to 9,486, 14,229 and 2,560.50 is: 3,840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486 : 14,229 = 2,560.50 : x
  2. Step 2: Convert to fraction form
    9,486/14,229 = 2,560.50/x
  3. Step 3: Cross multiply
    9,486x = 14,229 × 2,560.50
  4. Step 4: Simplify right side
    9,486x = 36,433,354.50
  5. Step 5: Solve for x
    x = 36,433,354.50/9,486
  6. Step 6: Final answer
    x = 3,840.75

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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.