Home / 2,102.26-3,152.14-715.20

Finding the Fourth Proportional to 2,102.26, 3,152.14 and 715.20

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Solution

The fourth proportional to 2,102.26, 3,152.14 and 715.20 is: 1,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.26 : 3,152.14 = 715.20 : x
  2. Step 2: Convert to fraction form
    2,102.26/3,152.14 = 715.20/x
  3. Step 3: Cross multiply
    2,102.26x = 3,152.14 × 715.20
  4. Step 4: Simplify right side
    2,102.26x = 2,254,410.53
  5. Step 5: Solve for x
    x = 2,254,410.53/2,102.26
  6. Step 6: Final answer
    x = 1,072.37

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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.