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Finding the Fourth Proportional to 2,130.63, 3,197.13 and 898.92

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Solution

The fourth proportional to 2,130.63, 3,197.13 and 898.92 is: 1,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.63 : 3,197.13 = 898.92 : x
  2. Step 2: Convert to fraction form
    2,130.63/3,197.13 = 898.92/x
  3. Step 3: Cross multiply
    2,130.63x = 3,197.13 × 898.92
  4. Step 4: Simplify right side
    2,130.63x = 2,873,964.10
  5. Step 5: Solve for x
    x = 2,873,964.10/2,130.63
  6. Step 6: Final answer
    x = 1,348.88

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1.5x scale

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.