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Finding the Fourth Proportional to 3,687.06, 5,530.47 and 913.74

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Solution

The fourth proportional to 3,687.06, 5,530.47 and 913.74 is: 1,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.06 : 5,530.47 = 913.74 : x
  2. Step 2: Convert to fraction form
    3,687.06/5,530.47 = 913.74/x
  3. Step 3: Cross multiply
    3,687.06x = 5,530.47 × 913.74
  4. Step 4: Simplify right side
    3,687.06x = 5,053,411.66
  5. Step 5: Solve for x
    x = 5,053,411.66/3,687.06
  6. Step 6: Final answer
    x = 1,370.58

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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.