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Finding the Fourth Proportional to 3,095.34, 4,642.38 and 2,578.68

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Solution

The fourth proportional to 3,095.34, 4,642.38 and 2,578.68 is: 3,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.34 : 4,642.38 = 2,578.68 : x
  2. Step 2: Convert to fraction form
    3,095.34/4,642.38 = 2,578.68/x
  3. Step 3: Cross multiply
    3,095.34x = 4,642.38 × 2,578.68
  4. Step 4: Simplify right side
    3,095.34x = 11,971,212.46
  5. Step 5: Solve for x
    x = 11,971,212.46/3,095.34
  6. Step 6: Final answer
    x = 3,867.50

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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.