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Finding the Fourth Proportional to 1,348.25, 1,856.13 and 1,173.56

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Solution

The fourth proportional to 1,348.25, 1,856.13 and 1,173.56 is: 1,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.25 : 1,856.13 = 1,173.56 : x
  2. Step 2: Convert to fraction form
    1,348.25/1,856.13 = 1,173.56/x
  3. Step 3: Cross multiply
    1,348.25x = 1,856.13 × 1,173.56
  4. Step 4: Simplify right side
    1,348.25x = 2,178,279.92
  5. Step 5: Solve for x
    x = 2,178,279.92/1,348.25
  6. Step 6: Final answer
    x = 1,615.64

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Double scale
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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.