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Finding the Fourth Proportional to 9,647.68, 14,471.42 and 7,321.98

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Solution

The fourth proportional to 9,647.68, 14,471.42 and 7,321.98 is: 10,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.68 : 14,471.42 = 7,321.98 : x
  2. Step 2: Convert to fraction form
    9,647.68/14,471.42 = 7,321.98/x
  3. Step 3: Cross multiply
    9,647.68x = 14,471.42 × 7,321.98
  4. Step 4: Simplify right side
    9,647.68x = 105,959,447.81
  5. Step 5: Solve for x
    x = 105,959,447.81/9,647.68
  6. Step 6: Final answer
    x = 10,982.89

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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.