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Finding the Fourth Proportional to 3,101.09, 4,652.51 and 909.77

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Solution

The fourth proportional to 3,101.09, 4,652.51 and 909.77 is: 1,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.09 : 4,652.51 = 909.77 : x
  2. Step 2: Convert to fraction form
    3,101.09/4,652.51 = 909.77/x
  3. Step 3: Cross multiply
    3,101.09x = 4,652.51 × 909.77
  4. Step 4: Simplify right side
    3,101.09x = 4,232,686.21
  5. Step 5: Solve for x
    x = 4,232,686.21/3,101.09
  6. Step 6: Final answer
    x = 1,364.90

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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.