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Finding the Fourth Proportional to 2,125.34, 3,185.24 and 891.11

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Solution

The fourth proportional to 2,125.34, 3,185.24 and 891.11 is: 1,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.34 : 3,185.24 = 891.11 : x
  2. Step 2: Convert to fraction form
    2,125.34/3,185.24 = 891.11/x
  3. Step 3: Cross multiply
    2,125.34x = 3,185.24 × 891.11
  4. Step 4: Simplify right side
    2,125.34x = 2,838,378.83
  5. Step 5: Solve for x
    x = 2,838,378.83/2,125.34
  6. Step 6: Final answer
    x = 1,335.50

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Double scale
Find fourth proportional to 2,126.34, 3,186.73 and 892.11
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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.