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Finding the Fourth Proportional to 9,896.20, 14,822.70 and 9,680.20

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Solution

The fourth proportional to 9,896.20, 14,822.70 and 9,680.20 is: 14,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.20 : 14,822.70 = 9,680.20 : x
  2. Step 2: Convert to fraction form
    9,896.20/14,822.70 = 9,680.20/x
  3. Step 3: Cross multiply
    9,896.20x = 14,822.70 × 9,680.20
  4. Step 4: Simplify right side
    9,896.20x = 143,486,700.54
  5. Step 5: Solve for x
    x = 143,486,700.54/9,896.20
  6. Step 6: Final answer
    x = 14,499.17

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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.