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Finding the Fourth Proportional to 3,101.63, 4,651.53 and 909.83

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Solution

The fourth proportional to 3,101.63, 4,651.53 and 909.83 is: 1,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.63 : 4,651.53 = 909.83 : x
  2. Step 2: Convert to fraction form
    3,101.63/4,651.53 = 909.83/x
  3. Step 3: Cross multiply
    3,101.63x = 4,651.53 × 909.83
  4. Step 4: Simplify right side
    3,101.63x = 4,232,109.76
  5. Step 5: Solve for x
    x = 4,232,109.76/3,101.63
  6. Step 6: Final answer
    x = 1,364.48

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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.