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Finding the Fourth Proportional to 7,113.56, 9,817.13 and 3,969.95

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Solution

The fourth proportional to 7,113.56, 9,817.13 and 3,969.95 is: 5,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.56 : 9,817.13 = 3,969.95 : x
  2. Step 2: Convert to fraction form
    7,113.56/9,817.13 = 3,969.95/x
  3. Step 3: Cross multiply
    7,113.56x = 9,817.13 × 3,969.95
  4. Step 4: Simplify right side
    7,113.56x = 38,973,476.08
  5. Step 5: Solve for x
    x = 38,973,476.08/7,113.56
  6. Step 6: Final answer
    x = 5,478.76

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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.