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Finding the Fourth Proportional to 3,438.95, 4,734.96 and 3,034.76

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Solution

The fourth proportional to 3,438.95, 4,734.96 and 3,034.76 is: 4,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.95 : 4,734.96 = 3,034.76 : x
  2. Step 2: Convert to fraction form
    3,438.95/4,734.96 = 3,034.76/x
  3. Step 3: Cross multiply
    3,438.95x = 4,734.96 × 3,034.76
  4. Step 4: Simplify right side
    3,438.95x = 14,369,467.21
  5. Step 5: Solve for x
    x = 14,369,467.21/3,438.95
  6. Step 6: Final answer
    x = 4,178.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.