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Finding the Fourth Proportional to 2,397.87, 3,309.26 and 1,513.62

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Solution

The fourth proportional to 2,397.87, 3,309.26 and 1,513.62 is: 2,088.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.87 : 3,309.26 = 1,513.62 : x
  2. Step 2: Convert to fraction form
    2,397.87/3,309.26 = 1,513.62/x
  3. Step 3: Cross multiply
    2,397.87x = 3,309.26 × 1,513.62
  4. Step 4: Simplify right side
    2,397.87x = 5,008,954.55
  5. Step 5: Solve for x
    x = 5,008,954.55/2,397.87
  6. Step 6: Final answer
    x = 2,088.92

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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.