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Finding the Fourth Proportional to 2,570.83, 3,856.90 and 927.44

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Solution

The fourth proportional to 2,570.83, 3,856.90 and 927.44 is: 1,391.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.83 : 3,856.90 = 927.44 : x
  2. Step 2: Convert to fraction form
    2,570.83/3,856.90 = 927.44/x
  3. Step 3: Cross multiply
    2,570.83x = 3,856.90 × 927.44
  4. Step 4: Simplify right side
    2,570.83x = 3,577,043.34
  5. Step 5: Solve for x
    x = 3,577,043.34/2,570.83
  6. Step 6: Final answer
    x = 1,391.40

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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.