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Finding the Fourth Proportional to 2,082.60, 2,870.70 and 1,639.74

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Solution

The fourth proportional to 2,082.60, 2,870.70 and 1,639.74 is: 2,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.60 : 2,870.70 = 1,639.74 : x
  2. Step 2: Convert to fraction form
    2,082.60/2,870.70 = 1,639.74/x
  3. Step 3: Cross multiply
    2,082.60x = 2,870.70 × 1,639.74
  4. Step 4: Simplify right side
    2,082.60x = 4,707,201.62
  5. Step 5: Solve for x
    x = 4,707,201.62/2,082.60
  6. Step 6: Final answer
    x = 2,260.25

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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.