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Finding the Fourth Proportional to 9,685.71, 13,372.62 and 6,710.67

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Solution

The fourth proportional to 9,685.71, 13,372.62 and 6,710.67 is: 9,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.71 : 13,372.62 = 6,710.67 : x
  2. Step 2: Convert to fraction form
    9,685.71/13,372.62 = 6,710.67/x
  3. Step 3: Cross multiply
    9,685.71x = 13,372.62 × 6,710.67
  4. Step 4: Simplify right side
    9,685.71x = 89,739,239.86
  5. Step 5: Solve for x
    x = 89,739,239.86/9,685.71
  6. Step 6: Final answer
    x = 9,265.12

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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.