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Finding the Fourth Proportional to 4,742.74, 7,124.10 and 2,894.86

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Solution

The fourth proportional to 4,742.74, 7,124.10 and 2,894.86 is: 4,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.74 : 7,124.10 = 2,894.86 : x
  2. Step 2: Convert to fraction form
    4,742.74/7,124.10 = 2,894.86/x
  3. Step 3: Cross multiply
    4,742.74x = 7,124.10 × 2,894.86
  4. Step 4: Simplify right side
    4,742.74x = 20,623,272.13
  5. Step 5: Solve for x
    x = 20,623,272.13/4,742.74
  6. Step 6: Final answer
    x = 4,348.39

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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.