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Finding the Fourth Proportional to 2,359.77, 3,540.10 and 898.80

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Solution

The fourth proportional to 2,359.77, 3,540.10 and 898.80 is: 1,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.77 : 3,540.10 = 898.80 : x
  2. Step 2: Convert to fraction form
    2,359.77/3,540.10 = 898.80/x
  3. Step 3: Cross multiply
    2,359.77x = 3,540.10 × 898.80
  4. Step 4: Simplify right side
    2,359.77x = 3,181,824.18
  5. Step 5: Solve for x
    x = 3,181,824.18/2,359.77
  6. Step 6: Final answer
    x = 1,348.36

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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.