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Finding the Fourth Proportional to 6,315.70, 9,472.20 and 2,805.70

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Solution

The fourth proportional to 6,315.70, 9,472.20 and 2,805.70 is: 4,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.70 : 9,472.20 = 2,805.70 : x
  2. Step 2: Convert to fraction form
    6,315.70/9,472.20 = 2,805.70/x
  3. Step 3: Cross multiply
    6,315.70x = 9,472.20 × 2,805.70
  4. Step 4: Simplify right side
    6,315.70x = 26,576,151.54
  5. Step 5: Solve for x
    x = 26,576,151.54/6,315.70
  6. Step 6: Final answer
    x = 4,207.95

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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.