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Finding the Fourth Proportional to 2,566.74, 3,849.44 and 922.98

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Solution

The fourth proportional to 2,566.74, 3,849.44 and 922.98 is: 1,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.74 : 3,849.44 = 922.98 : x
  2. Step 2: Convert to fraction form
    2,566.74/3,849.44 = 922.98/x
  3. Step 3: Cross multiply
    2,566.74x = 3,849.44 × 922.98
  4. Step 4: Simplify right side
    2,566.74x = 3,552,951.52
  5. Step 5: Solve for x
    x = 3,552,951.52/2,566.74
  6. Step 6: Final answer
    x = 1,384.23

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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.