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Finding the Fourth Proportional to 1,881.78, 2,823.72 and 786.90

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Solution

The fourth proportional to 1,881.78, 2,823.72 and 786.90 is: 1,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.78 : 2,823.72 = 786.90 : x
  2. Step 2: Convert to fraction form
    1,881.78/2,823.72 = 786.90/x
  3. Step 3: Cross multiply
    1,881.78x = 2,823.72 × 786.90
  4. Step 4: Simplify right side
    1,881.78x = 2,221,985.27
  5. Step 5: Solve for x
    x = 2,221,985.27/1,881.78
  6. Step 6: Final answer
    x = 1,180.79

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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.