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Finding the Fourth Proportional to 2,125.65, 3,188.34 and 955.35

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Solution

The fourth proportional to 2,125.65, 3,188.34 and 955.35 is: 1,432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.65 : 3,188.34 = 955.35 : x
  2. Step 2: Convert to fraction form
    2,125.65/3,188.34 = 955.35/x
  3. Step 3: Cross multiply
    2,125.65x = 3,188.34 × 955.35
  4. Step 4: Simplify right side
    2,125.65x = 3,045,980.62
  5. Step 5: Solve for x
    x = 3,045,980.62/2,125.65
  6. Step 6: Final answer
    x = 1,432.96

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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.