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Finding the Fourth Proportional to 9,234.78, 13,856.80 and 4,304.80

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Solution

The fourth proportional to 9,234.78, 13,856.80 and 4,304.80 is: 6,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.78 : 13,856.80 = 4,304.80 : x
  2. Step 2: Convert to fraction form
    9,234.78/13,856.80 = 4,304.80/x
  3. Step 3: Cross multiply
    9,234.78x = 13,856.80 × 4,304.80
  4. Step 4: Simplify right side
    9,234.78x = 59,650,752.64
  5. Step 5: Solve for x
    x = 59,650,752.64/9,234.78
  6. Step 6: Final answer
    x = 6,459.36

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1.5x scale

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.