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Finding the Fourth Proportional to 2,515.40, 3,772.93 and 760.47

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Solution

The fourth proportional to 2,515.40, 3,772.93 and 760.47 is: 1,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.40 : 3,772.93 = 760.47 : x
  2. Step 2: Convert to fraction form
    2,515.40/3,772.93 = 760.47/x
  3. Step 3: Cross multiply
    2,515.40x = 3,772.93 × 760.47
  4. Step 4: Simplify right side
    2,515.40x = 2,869,200.08
  5. Step 5: Solve for x
    x = 2,869,200.08/2,515.40
  6. Step 6: Final answer
    x = 1,140.65

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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.