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Finding the Fourth Proportional to 7,015, 10,522.52 and 1,820.92

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Solution

The fourth proportional to 7,015, 10,522.52 and 1,820.92 is: 2,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015 : 10,522.52 = 1,820.92 : x
  2. Step 2: Convert to fraction form
    7,015/10,522.52 = 1,820.92/x
  3. Step 3: Cross multiply
    7,015x = 10,522.52 × 1,820.92
  4. Step 4: Simplify right side
    7,015x = 19,160,667.12
  5. Step 5: Solve for x
    x = 19,160,667.12/7,015
  6. Step 6: Final answer
    x = 2,731.39

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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.