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Finding the Fourth Proportional to 1,383.52, 1,904.88 and 1,122.40

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Solution

The fourth proportional to 1,383.52, 1,904.88 and 1,122.40 is: 1,545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.52 : 1,904.88 = 1,122.40 : x
  2. Step 2: Convert to fraction form
    1,383.52/1,904.88 = 1,122.40/x
  3. Step 3: Cross multiply
    1,383.52x = 1,904.88 × 1,122.40
  4. Step 4: Simplify right side
    1,383.52x = 2,138,037.31
  5. Step 5: Solve for x
    x = 2,138,037.31/1,383.52
  6. Step 6: Final answer
    x = 1,545.36

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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.