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Finding the Fourth Proportional to 2,837.65, 4,257.44 and 889.90

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Solution

The fourth proportional to 2,837.65, 4,257.44 and 889.90 is: 1,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.65 : 4,257.44 = 889.90 : x
  2. Step 2: Convert to fraction form
    2,837.65/4,257.44 = 889.90/x
  3. Step 3: Cross multiply
    2,837.65x = 4,257.44 × 889.90
  4. Step 4: Simplify right side
    2,837.65x = 3,788,695.86
  5. Step 5: Solve for x
    x = 3,788,695.86/2,837.65
  6. Step 6: Final answer
    x = 1,335.15

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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.