Home / 7,031-10,542.81-2,868.68

Finding the Fourth Proportional to 7,031, 10,542.81 and 2,868.68

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Solution

The fourth proportional to 7,031, 10,542.81 and 2,868.68 is: 4,301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031 : 10,542.81 = 2,868.68 : x
  2. Step 2: Convert to fraction form
    7,031/10,542.81 = 2,868.68/x
  3. Step 3: Cross multiply
    7,031x = 10,542.81 × 2,868.68
  4. Step 4: Simplify right side
    7,031x = 30,243,948.19
  5. Step 5: Solve for x
    x = 30,243,948.19/7,031
  6. Step 6: Final answer
    x = 4,301.51

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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.