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Finding the Fourth Proportional to 3,101.19, 4,651.92 and 909.93

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Solution

The fourth proportional to 3,101.19, 4,651.92 and 909.93 is: 1,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.19 : 4,651.92 = 909.93 : x
  2. Step 2: Convert to fraction form
    3,101.19/4,651.92 = 909.93/x
  3. Step 3: Cross multiply
    3,101.19x = 4,651.92 × 909.93
  4. Step 4: Simplify right side
    3,101.19x = 4,232,921.57
  5. Step 5: Solve for x
    x = 4,232,921.57/3,101.19
  6. Step 6: Final answer
    x = 1,364.93

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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.