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Finding the Fourth Proportional to 2,894.14, 4,341.18 and 842.14

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Solution

The fourth proportional to 2,894.14, 4,341.18 and 842.14 is: 1,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.14 : 4,341.18 = 842.14 : x
  2. Step 2: Convert to fraction form
    2,894.14/4,341.18 = 842.14/x
  3. Step 3: Cross multiply
    2,894.14x = 4,341.18 × 842.14
  4. Step 4: Simplify right side
    2,894.14x = 3,655,881.33
  5. Step 5: Solve for x
    x = 3,655,881.33/2,894.14
  6. Step 6: Final answer
    x = 1,263.20

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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.