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Finding the Fourth Proportional to 5,286.78, 7,931.40 and 2,820.30

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Solution

The fourth proportional to 5,286.78, 7,931.40 and 2,820.30 is: 4,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.78 : 7,931.40 = 2,820.30 : x
  2. Step 2: Convert to fraction form
    5,286.78/7,931.40 = 2,820.30/x
  3. Step 3: Cross multiply
    5,286.78x = 7,931.40 × 2,820.30
  4. Step 4: Simplify right side
    5,286.78x = 22,368,927.42
  5. Step 5: Solve for x
    x = 22,368,927.42/5,286.78
  6. Step 6: Final answer
    x = 4,231.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.