Home / 3,431.34-5,146.22-966.40

Finding the Fourth Proportional to 3,431.34, 5,146.22 and 966.40

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Solution

The fourth proportional to 3,431.34, 5,146.22 and 966.40 is: 1,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.34 : 5,146.22 = 966.40 : x
  2. Step 2: Convert to fraction form
    3,431.34/5,146.22 = 966.40/x
  3. Step 3: Cross multiply
    3,431.34x = 5,146.22 × 966.40
  4. Step 4: Simplify right side
    3,431.34x = 4,973,307.01
  5. Step 5: Solve for x
    x = 4,973,307.01/3,431.34
  6. Step 6: Final answer
    x = 1,449.38

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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.