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Finding the Fourth Proportional to 1,873.95, 2,812.16 and 778.31

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Solution

The fourth proportional to 1,873.95, 2,812.16 and 778.31 is: 1,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.95 : 2,812.16 = 778.31 : x
  2. Step 2: Convert to fraction form
    1,873.95/2,812.16 = 778.31/x
  3. Step 3: Cross multiply
    1,873.95x = 2,812.16 × 778.31
  4. Step 4: Simplify right side
    1,873.95x = 2,188,730.68
  5. Step 5: Solve for x
    x = 2,188,730.68/1,873.95
  6. Step 6: Final answer
    x = 1,167.98

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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.