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Finding the Fourth Proportional to 7,019.12, 10,530.84 and 5,072

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Solution

The fourth proportional to 7,019.12, 10,530.84 and 5,072 is: 7,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019.12 : 10,530.84 = 5,072 : x
  2. Step 2: Convert to fraction form
    7,019.12/10,530.84 = 5,072/x
  3. Step 3: Cross multiply
    7,019.12x = 10,530.84 × 5,072
  4. Step 4: Simplify right side
    7,019.12x = 53,412,420.48
  5. Step 5: Solve for x
    x = 53,412,420.48/7,019.12
  6. Step 6: Final answer
    x = 7,609.56

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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.