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Finding the Fourth Proportional to 8,007.60, 12,013.28 and 2,742.67

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Solution

The fourth proportional to 8,007.60, 12,013.28 and 2,742.67 is: 4,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.60 : 12,013.28 = 2,742.67 : x
  2. Step 2: Convert to fraction form
    8,007.60/12,013.28 = 2,742.67/x
  3. Step 3: Cross multiply
    8,007.60x = 12,013.28 × 2,742.67
  4. Step 4: Simplify right side
    8,007.60x = 32,948,448.94
  5. Step 5: Solve for x
    x = 32,948,448.94/8,007.60
  6. Step 6: Final answer
    x = 4,114.65

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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.