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Finding the Fourth Proportional to 3,160.89, 4,741.13 and 969.60

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Solution

The fourth proportional to 3,160.89, 4,741.13 and 969.60 is: 1,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.89 : 4,741.13 = 969.60 : x
  2. Step 2: Convert to fraction form
    3,160.89/4,741.13 = 969.60/x
  3. Step 3: Cross multiply
    3,160.89x = 4,741.13 × 969.60
  4. Step 4: Simplify right side
    3,160.89x = 4,597,001.06
  5. Step 5: Solve for x
    x = 4,597,001.06/3,160.89
  6. Step 6: Final answer
    x = 1,454.34

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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.