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Finding the Fourth Proportional to 2,013.24, 3,019.86 and 916.86

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Solution

The fourth proportional to 2,013.24, 3,019.86 and 916.86 is: 1,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.24 : 3,019.86 = 916.86 : x
  2. Step 2: Convert to fraction form
    2,013.24/3,019.86 = 916.86/x
  3. Step 3: Cross multiply
    2,013.24x = 3,019.86 × 916.86
  4. Step 4: Simplify right side
    2,013.24x = 2,768,788.84
  5. Step 5: Solve for x
    x = 2,768,788.84/2,013.24
  6. Step 6: Final answer
    x = 1,375.29

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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.