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Finding the Fourth Proportional to 1,876.96, 2,815.56 and 578.56

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Solution

The fourth proportional to 1,876.96, 2,815.56 and 578.56 is: 867.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.96 : 2,815.56 = 578.56 : x
  2. Step 2: Convert to fraction form
    1,876.96/2,815.56 = 578.56/x
  3. Step 3: Cross multiply
    1,876.96x = 2,815.56 × 578.56
  4. Step 4: Simplify right side
    1,876.96x = 1,628,970.39
  5. Step 5: Solve for x
    x = 1,628,970.39/1,876.96
  6. Step 6: Final answer
    x = 867.88

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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.