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Finding the Fourth Proportional to 1,777.10, 2,665.65 and 1,625.90

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Solution

The fourth proportional to 1,777.10, 2,665.65 and 1,625.90 is: 2,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.10 : 2,665.65 = 1,625.90 : x
  2. Step 2: Convert to fraction form
    1,777.10/2,665.65 = 1,625.90/x
  3. Step 3: Cross multiply
    1,777.10x = 2,665.65 × 1,625.90
  4. Step 4: Simplify right side
    1,777.10x = 4,334,080.34
  5. Step 5: Solve for x
    x = 4,334,080.34/1,777.10
  6. Step 6: Final answer
    x = 2,438.85

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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.