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Finding the Fourth Proportional to 1,762.26, 2,643.42 and 1,655.34

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Solution

The fourth proportional to 1,762.26, 2,643.42 and 1,655.34 is: 2,483.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.26 : 2,643.42 = 1,655.34 : x
  2. Step 2: Convert to fraction form
    1,762.26/2,643.42 = 1,655.34/x
  3. Step 3: Cross multiply
    1,762.26x = 2,643.42 × 1,655.34
  4. Step 4: Simplify right side
    1,762.26x = 4,375,758.86
  5. Step 5: Solve for x
    x = 4,375,758.86/1,762.26
  6. Step 6: Final answer
    x = 2,483.04

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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.