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Finding the Fourth Proportional to 1,885.78, 2,829.51 and 731.62

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Solution

The fourth proportional to 1,885.78, 2,829.51 and 731.62 is: 1,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.78 : 2,829.51 = 731.62 : x
  2. Step 2: Convert to fraction form
    1,885.78/2,829.51 = 731.62/x
  3. Step 3: Cross multiply
    1,885.78x = 2,829.51 × 731.62
  4. Step 4: Simplify right side
    1,885.78x = 2,070,126.11
  5. Step 5: Solve for x
    x = 2,070,126.11/1,885.78
  6. Step 6: Final answer
    x = 1,097.76

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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.