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Finding the Fourth Proportional to 9,540, 13,165.38 and 5,348.52

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Solution

The fourth proportional to 9,540, 13,165.38 and 5,348.52 is: 7,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540 : 13,165.38 = 5,348.52 : x
  2. Step 2: Convert to fraction form
    9,540/13,165.38 = 5,348.52/x
  3. Step 3: Cross multiply
    9,540x = 13,165.38 × 5,348.52
  4. Step 4: Simplify right side
    9,540x = 70,415,298.24
  5. Step 5: Solve for x
    x = 70,415,298.24/9,540
  6. Step 6: Final answer
    x = 7,381.06

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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.