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Finding the Fourth Proportional to 7,013.76, 10,520.64 and 4,272

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Solution

The fourth proportional to 7,013.76, 10,520.64 and 4,272 is: 6,408

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.76 : 10,520.64 = 4,272 : x
  2. Step 2: Convert to fraction form
    7,013.76/10,520.64 = 4,272/x
  3. Step 3: Cross multiply
    7,013.76x = 10,520.64 × 4,272
  4. Step 4: Simplify right side
    7,013.76x = 44,944,174.08
  5. Step 5: Solve for x
    x = 44,944,174.08/7,013.76
  6. Step 6: Final answer
    x = 6,408

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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.