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Finding the Fourth Proportional to 2,489.34, 3,734.63 and 929.39

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Solution

The fourth proportional to 2,489.34, 3,734.63 and 929.39 is: 1,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.34 : 3,734.63 = 929.39 : x
  2. Step 2: Convert to fraction form
    2,489.34/3,734.63 = 929.39/x
  3. Step 3: Cross multiply
    2,489.34x = 3,734.63 × 929.39
  4. Step 4: Simplify right side
    2,489.34x = 3,470,934.18
  5. Step 5: Solve for x
    x = 3,470,934.18/2,489.34
  6. Step 6: Final answer
    x = 1,394.32

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1.5x scale

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.