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Finding the Fourth Proportional to 9,398.57, 12,969.14 and 5,620.95

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Solution

The fourth proportional to 9,398.57, 12,969.14 and 5,620.95 is: 7,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.57 : 12,969.14 = 5,620.95 : x
  2. Step 2: Convert to fraction form
    9,398.57/12,969.14 = 5,620.95/x
  3. Step 3: Cross multiply
    9,398.57x = 12,969.14 × 5,620.95
  4. Step 4: Simplify right side
    9,398.57x = 72,898,859.38
  5. Step 5: Solve for x
    x = 72,898,859.38/9,398.57
  6. Step 6: Final answer
    x = 7,756.38

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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.