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Finding the Fourth Proportional to 8,590.83, 12,881.76 and 2,746.68

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Solution

The fourth proportional to 8,590.83, 12,881.76 and 2,746.68 is: 4,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.83 : 12,881.76 = 2,746.68 : x
  2. Step 2: Convert to fraction form
    8,590.83/12,881.76 = 2,746.68/x
  3. Step 3: Cross multiply
    8,590.83x = 12,881.76 × 2,746.68
  4. Step 4: Simplify right side
    8,590.83x = 35,382,072.56
  5. Step 5: Solve for x
    x = 35,382,072.56/8,590.83
  6. Step 6: Final answer
    x = 4,118.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.