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Finding the Fourth Proportional to 2,569.92, 3,856.65 and 926.53

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Solution

The fourth proportional to 2,569.92, 3,856.65 and 926.53 is: 1,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.92 : 3,856.65 = 926.53 : x
  2. Step 2: Convert to fraction form
    2,569.92/3,856.65 = 926.53/x
  3. Step 3: Cross multiply
    2,569.92x = 3,856.65 × 926.53
  4. Step 4: Simplify right side
    2,569.92x = 3,573,301.92
  5. Step 5: Solve for x
    x = 3,573,301.92/2,569.92
  6. Step 6: Final answer
    x = 1,390.43

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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.