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Finding the Fourth Proportional to 1,876.76, 2,590.34 and 1,091.26

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Solution

The fourth proportional to 1,876.76, 2,590.34 and 1,091.26 is: 1,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.76 : 2,590.34 = 1,091.26 : x
  2. Step 2: Convert to fraction form
    1,876.76/2,590.34 = 1,091.26/x
  3. Step 3: Cross multiply
    1,876.76x = 2,590.34 × 1,091.26
  4. Step 4: Simplify right side
    1,876.76x = 2,826,734.43
  5. Step 5: Solve for x
    x = 2,826,734.43/1,876.76
  6. Step 6: Final answer
    x = 1,506.18

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Half scale
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Double scale
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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.