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Finding the Fourth Proportional to 7,065.02, 9,727.38 and 5,381

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Solution

The fourth proportional to 7,065.02, 9,727.38 and 5,381 is: 7,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.02 : 9,727.38 = 5,381 : x
  2. Step 2: Convert to fraction form
    7,065.02/9,727.38 = 5,381/x
  3. Step 3: Cross multiply
    7,065.02x = 9,727.38 × 5,381
  4. Step 4: Simplify right side
    7,065.02x = 52,343,031.78
  5. Step 5: Solve for x
    x = 52,343,031.78/7,065.02
  6. Step 6: Final answer
    x = 7,408.76

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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.