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Finding the Fourth Proportional to 3,687.18, 5,530.71 and 913.86

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Solution

The fourth proportional to 3,687.18, 5,530.71 and 913.86 is: 1,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.18 : 5,530.71 = 913.86 : x
  2. Step 2: Convert to fraction form
    3,687.18/5,530.71 = 913.86/x
  3. Step 3: Cross multiply
    3,687.18x = 5,530.71 × 913.86
  4. Step 4: Simplify right side
    3,687.18x = 5,054,290.07
  5. Step 5: Solve for x
    x = 5,054,290.07/3,687.18
  6. Step 6: Final answer
    x = 1,370.77

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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.