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Finding the Fourth Proportional to 2,590.77, 3,575.26 and 1,411.84

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Solution

The fourth proportional to 2,590.77, 3,575.26 and 1,411.84 is: 1,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.77 : 3,575.26 = 1,411.84 : x
  2. Step 2: Convert to fraction form
    2,590.77/3,575.26 = 1,411.84/x
  3. Step 3: Cross multiply
    2,590.77x = 3,575.26 × 1,411.84
  4. Step 4: Simplify right side
    2,590.77x = 5,047,701.31
  5. Step 5: Solve for x
    x = 5,047,701.31/2,590.77
  6. Step 6: Final answer
    x = 1,948.34

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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.