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Finding the Fourth Proportional to 2,645.87, 3,652.90 and 1,652.00

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Solution

The fourth proportional to 2,645.87, 3,652.90 and 1,652.00 is: 2,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.87 : 3,652.90 = 1,652.00 : x
  2. Step 2: Convert to fraction form
    2,645.87/3,652.90 = 1,652.00/x
  3. Step 3: Cross multiply
    2,645.87x = 3,652.90 × 1,652.00
  4. Step 4: Simplify right side
    2,645.87x = 6,034,568.41
  5. Step 5: Solve for x
    x = 6,034,568.41/2,645.87
  6. Step 6: Final answer
    x = 2,280.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.