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Finding the Fourth Proportional to 2,125.49, 3,188.27 and 565.52

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Solution

The fourth proportional to 2,125.49, 3,188.27 and 565.52 is: 848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.49 : 3,188.27 = 565.52 : x
  2. Step 2: Convert to fraction form
    2,125.49/3,188.27 = 565.52/x
  3. Step 3: Cross multiply
    2,125.49x = 3,188.27 × 565.52
  4. Step 4: Simplify right side
    2,125.49x = 1,803,027.62
  5. Step 5: Solve for x
    x = 1,803,027.62/2,125.49
  6. Step 6: Final answer
    x = 848.29

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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.