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Finding the Fourth Proportional to 1,876.78, 2,590.44 and 1,788.76

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Solution

The fourth proportional to 1,876.78, 2,590.44 and 1,788.76 is: 2,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.78 : 2,590.44 = 1,788.76 : x
  2. Step 2: Convert to fraction form
    1,876.78/2,590.44 = 1,788.76/x
  3. Step 3: Cross multiply
    1,876.78x = 2,590.44 × 1,788.76
  4. Step 4: Simplify right side
    1,876.78x = 4,633,675.45
  5. Step 5: Solve for x
    x = 4,633,675.45/1,876.78
  6. Step 6: Final answer
    x = 2,468.95

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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.