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Finding the Fourth Proportional to 7,140.67, 9,854.12 and 3,996.86

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Solution

The fourth proportional to 7,140.67, 9,854.12 and 3,996.86 is: 5,515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.67 : 9,854.12 = 3,996.86 : x
  2. Step 2: Convert to fraction form
    7,140.67/9,854.12 = 3,996.86/x
  3. Step 3: Cross multiply
    7,140.67x = 9,854.12 × 3,996.86
  4. Step 4: Simplify right side
    7,140.67x = 39,385,538.06
  5. Step 5: Solve for x
    x = 39,385,538.06/7,140.67
  6. Step 6: Final answer
    x = 5,515.66

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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.