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Finding the Fourth Proportional to 3,886.40, 5,829.53 and 964.59

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Solution

The fourth proportional to 3,886.40, 5,829.53 and 964.59 is: 1,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.40 : 5,829.53 = 964.59 : x
  2. Step 2: Convert to fraction form
    3,886.40/5,829.53 = 964.59/x
  3. Step 3: Cross multiply
    3,886.40x = 5,829.53 × 964.59
  4. Step 4: Simplify right side
    3,886.40x = 5,623,101.52
  5. Step 5: Solve for x
    x = 5,623,101.52/3,886.40
  6. Step 6: Final answer
    x = 1,446.87

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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.