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Finding the Fourth Proportional to 2,125.78, 3,188.83 and 565.82

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Solution

The fourth proportional to 2,125.78, 3,188.83 and 565.82 is: 848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.78 : 3,188.83 = 565.82 : x
  2. Step 2: Convert to fraction form
    2,125.78/3,188.83 = 565.82/x
  3. Step 3: Cross multiply
    2,125.78x = 3,188.83 × 565.82
  4. Step 4: Simplify right side
    2,125.78x = 1,804,303.79
  5. Step 5: Solve for x
    x = 1,804,303.79/2,125.78
  6. Step 6: Final answer
    x = 848.77

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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.