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Finding the Fourth Proportional to 1,305.52, 1,948.13 and 1,189.09

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Solution

The fourth proportional to 1,305.52, 1,948.13 and 1,189.09 is: 1,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.52 : 1,948.13 = 1,189.09 : x
  2. Step 2: Convert to fraction form
    1,305.52/1,948.13 = 1,189.09/x
  3. Step 3: Cross multiply
    1,305.52x = 1,948.13 × 1,189.09
  4. Step 4: Simplify right side
    1,305.52x = 2,316,501.90
  5. Step 5: Solve for x
    x = 2,316,501.90/1,305.52
  6. Step 6: Final answer
    x = 1,774.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.