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Finding the Fourth Proportional to 2,762.46, 4,141.02 and 1,772.50

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Solution

The fourth proportional to 2,762.46, 4,141.02 and 1,772.50 is: 2,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.46 : 4,141.02 = 1,772.50 : x
  2. Step 2: Convert to fraction form
    2,762.46/4,141.02 = 1,772.50/x
  3. Step 3: Cross multiply
    2,762.46x = 4,141.02 × 1,772.50
  4. Step 4: Simplify right side
    2,762.46x = 7,339,957.95
  5. Step 5: Solve for x
    x = 7,339,957.95/2,762.46
  6. Step 6: Final answer
    x = 2,657.04

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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.