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Finding the Fourth Proportional to 2,116.61, 3,174.66 and 556.74

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Solution

The fourth proportional to 2,116.61, 3,174.66 and 556.74 is: 835.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.61 : 3,174.66 = 556.74 : x
  2. Step 2: Convert to fraction form
    2,116.61/3,174.66 = 556.74/x
  3. Step 3: Cross multiply
    2,116.61x = 3,174.66 × 556.74
  4. Step 4: Simplify right side
    2,116.61x = 1,767,445.73
  5. Step 5: Solve for x
    x = 1,767,445.73/2,116.61
  6. Step 6: Final answer
    x = 835.04

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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.