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Finding the Fourth Proportional to 1,966.79, 2,947.10 and 926.55

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Solution

The fourth proportional to 1,966.79, 2,947.10 and 926.55 is: 1,388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.79 : 2,947.10 = 926.55 : x
  2. Step 2: Convert to fraction form
    1,966.79/2,947.10 = 926.55/x
  3. Step 3: Cross multiply
    1,966.79x = 2,947.10 × 926.55
  4. Step 4: Simplify right side
    1,966.79x = 2,730,630.87
  5. Step 5: Solve for x
    x = 2,730,630.87/1,966.79
  6. Step 6: Final answer
    x = 1,388.37

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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.