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Finding the Fourth Proportional to 9,856.56, 13,608.88 and 9,229.20

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Solution

The fourth proportional to 9,856.56, 13,608.88 and 9,229.20 is: 12,742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.56 : 13,608.88 = 9,229.20 : x
  2. Step 2: Convert to fraction form
    9,856.56/13,608.88 = 9,229.20/x
  3. Step 3: Cross multiply
    9,856.56x = 13,608.88 × 9,229.20
  4. Step 4: Simplify right side
    9,856.56x = 125,599,075.30
  5. Step 5: Solve for x
    x = 125,599,075.30/9,856.56
  6. Step 6: Final answer
    x = 12,742.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.