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Finding the Fourth Proportional to 2,071.85, 3,108.74 and 840.11

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Solution

The fourth proportional to 2,071.85, 3,108.74 and 840.11 is: 1,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.85 : 3,108.74 = 840.11 : x
  2. Step 2: Convert to fraction form
    2,071.85/3,108.74 = 840.11/x
  3. Step 3: Cross multiply
    2,071.85x = 3,108.74 × 840.11
  4. Step 4: Simplify right side
    2,071.85x = 2,611,663.82
  5. Step 5: Solve for x
    x = 2,611,663.82/2,071.85
  6. Step 6: Final answer
    x = 1,260.55

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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.