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Finding the Fourth Proportional to 2,288.60, 3,158.08 and 1,357.08

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Solution

The fourth proportional to 2,288.60, 3,158.08 and 1,357.08 is: 1,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.60 : 3,158.08 = 1,357.08 : x
  2. Step 2: Convert to fraction form
    2,288.60/3,158.08 = 1,357.08/x
  3. Step 3: Cross multiply
    2,288.60x = 3,158.08 × 1,357.08
  4. Step 4: Simplify right side
    2,288.60x = 4,285,767.21
  5. Step 5: Solve for x
    x = 4,285,767.21/2,288.60
  6. Step 6: Final answer
    x = 1,872.66

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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.