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Finding the Fourth Proportional to 3,160.78, 4,741.38 and 969.52

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Solution

The fourth proportional to 3,160.78, 4,741.38 and 969.52 is: 1,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.78 : 4,741.38 = 969.52 : x
  2. Step 2: Convert to fraction form
    3,160.78/4,741.38 = 969.52/x
  3. Step 3: Cross multiply
    3,160.78x = 4,741.38 × 969.52
  4. Step 4: Simplify right side
    3,160.78x = 4,596,862.74
  5. Step 5: Solve for x
    x = 4,596,862.74/3,160.78
  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.