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Finding the Fourth Proportional to 4,757.40, 7,136.78 and 1,470.78

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Solution

The fourth proportional to 4,757.40, 7,136.78 and 1,470.78 is: 2,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.40 : 7,136.78 = 1,470.78 : x
  2. Step 2: Convert to fraction form
    4,757.40/7,136.78 = 1,470.78/x
  3. Step 3: Cross multiply
    4,757.40x = 7,136.78 × 1,470.78
  4. Step 4: Simplify right side
    4,757.40x = 10,496,633.29
  5. Step 5: Solve for x
    x = 10,496,633.29/4,757.40
  6. Step 6: Final answer
    x = 2,206.38

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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.