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Finding the Fourth Proportional to 1,881.90, 2,823.15 and 785.70

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Solution

The fourth proportional to 1,881.90, 2,823.15 and 785.70 is: 1,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.90 : 2,823.15 = 785.70 : x
  2. Step 2: Convert to fraction form
    1,881.90/2,823.15 = 785.70/x
  3. Step 3: Cross multiply
    1,881.90x = 2,823.15 × 785.70
  4. Step 4: Simplify right side
    1,881.90x = 2,218,148.96
  5. Step 5: Solve for x
    x = 2,218,148.96/1,881.90
  6. Step 6: Final answer
    x = 1,178.68

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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.