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Finding the Fourth Proportional to 2,750.10, 4,125.15 and 1,656.60

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Solution

The fourth proportional to 2,750.10, 4,125.15 and 1,656.60 is: 2,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.10 : 4,125.15 = 1,656.60 : x
  2. Step 2: Convert to fraction form
    2,750.10/4,125.15 = 1,656.60/x
  3. Step 3: Cross multiply
    2,750.10x = 4,125.15 × 1,656.60
  4. Step 4: Simplify right side
    2,750.10x = 6,833,723.49
  5. Step 5: Solve for x
    x = 6,833,723.49/2,750.10
  6. Step 6: Final answer
    x = 2,484.90

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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.