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Finding the Fourth Proportional to 2,641.59, 3,961.06 and 975.63

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Solution

The fourth proportional to 2,641.59, 3,961.06 and 975.63 is: 1,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.59 : 3,961.06 = 975.63 : x
  2. Step 2: Convert to fraction form
    2,641.59/3,961.06 = 975.63/x
  3. Step 3: Cross multiply
    2,641.59x = 3,961.06 × 975.63
  4. Step 4: Simplify right side
    2,641.59x = 3,864,528.97
  5. Step 5: Solve for x
    x = 3,864,528.97/2,641.59
  6. Step 6: Final answer
    x = 1,462.96

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Double scale
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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.