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Finding the Fourth Proportional to 1,920.34, 2,650.04 and 1,124.20

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Solution

The fourth proportional to 1,920.34, 2,650.04 and 1,124.20 is: 1,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.34 : 2,650.04 = 1,124.20 : x
  2. Step 2: Convert to fraction form
    1,920.34/2,650.04 = 1,124.20/x
  3. Step 3: Cross multiply
    1,920.34x = 2,650.04 × 1,124.20
  4. Step 4: Simplify right side
    1,920.34x = 2,979,174.97
  5. Step 5: Solve for x
    x = 2,979,174.97/1,920.34
  6. Step 6: Final answer
    x = 1,551.38

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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.