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Finding the Fourth Proportional to 7,013.68, 10,526.56 and 2,856

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Solution

The fourth proportional to 7,013.68, 10,526.56 and 2,856 is: 4,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.68 : 10,526.56 = 2,856 : x
  2. Step 2: Convert to fraction form
    7,013.68/10,526.56 = 2,856/x
  3. Step 3: Cross multiply
    7,013.68x = 10,526.56 × 2,856
  4. Step 4: Simplify right side
    7,013.68x = 30,063,855.36
  5. Step 5: Solve for x
    x = 30,063,855.36/7,013.68
  6. Step 6: Final answer
    x = 4,286.46

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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.