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Finding the Fourth Proportional to 2,894.73, 4,341.95 and 946.95

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Solution

The fourth proportional to 2,894.73, 4,341.95 and 946.95 is: 1,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.73 : 4,341.95 = 946.95 : x
  2. Step 2: Convert to fraction form
    2,894.73/4,341.95 = 946.95/x
  3. Step 3: Cross multiply
    2,894.73x = 4,341.95 × 946.95
  4. Step 4: Simplify right side
    2,894.73x = 4,111,609.55
  5. Step 5: Solve for x
    x = 4,111,609.55/2,894.73
  6. Step 6: Final answer
    x = 1,420.38

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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.