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Finding the Fourth Proportional to 1,876.08, 2,590.08 and 1,178.40

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Solution

The fourth proportional to 1,876.08, 2,590.08 and 1,178.40 is: 1,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.08 : 2,590.08 = 1,178.40 : x
  2. Step 2: Convert to fraction form
    1,876.08/2,590.08 = 1,178.40/x
  3. Step 3: Cross multiply
    1,876.08x = 2,590.08 × 1,178.40
  4. Step 4: Simplify right side
    1,876.08x = 3,052,150.27
  5. Step 5: Solve for x
    x = 3,052,150.27/1,876.08
  6. Step 6: Final answer
    x = 1,626.88

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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.