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Finding the Fourth Proportional to 9,971.68, 13,754.64 and 6,610.72

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Solution

The fourth proportional to 9,971.68, 13,754.64 and 6,610.72 is: 9,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.68 : 13,754.64 = 6,610.72 : x
  2. Step 2: Convert to fraction form
    9,971.68/13,754.64 = 6,610.72/x
  3. Step 3: Cross multiply
    9,971.68x = 13,754.64 × 6,610.72
  4. Step 4: Simplify right side
    9,971.68x = 90,928,073.74
  5. Step 5: Solve for x
    x = 90,928,073.74/9,971.68
  6. Step 6: Final answer
    x = 9,118.63

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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.