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Finding the Fourth Proportional to 9,397.63, 12,965.79 and 5,418.21

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Solution

The fourth proportional to 9,397.63, 12,965.79 and 5,418.21 is: 7,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.63 : 12,965.79 = 5,418.21 : x
  2. Step 2: Convert to fraction form
    9,397.63/12,965.79 = 5,418.21/x
  3. Step 3: Cross multiply
    9,397.63x = 12,965.79 × 5,418.21
  4. Step 4: Simplify right side
    9,397.63x = 70,251,373.04
  5. Step 5: Solve for x
    x = 70,251,373.04/9,397.63
  6. Step 6: Final answer
    x = 7,475.44

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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.