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Finding the Fourth Proportional to 2,071.16, 3,106.74 and 511.18

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Solution

The fourth proportional to 2,071.16, 3,106.74 and 511.18 is: 766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.16 : 3,106.74 = 511.18 : x
  2. Step 2: Convert to fraction form
    2,071.16/3,106.74 = 511.18/x
  3. Step 3: Cross multiply
    2,071.16x = 3,106.74 × 511.18
  4. Step 4: Simplify right side
    2,071.16x = 1,588,103.35
  5. Step 5: Solve for x
    x = 1,588,103.35/2,071.16
  6. Step 6: Final answer
    x = 766.77

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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.