Home / 21,138.46-31,708-10,046.28

Finding the Fourth Proportional to 21,138.46, 31,708 and 10,046.28

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Solution

The fourth proportional to 21,138.46, 31,708 and 10,046.28 is: 15,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,138.46 : 31,708 = 10,046.28 : x
  2. Step 2: Convert to fraction form
    21,138.46/31,708 = 10,046.28/x
  3. Step 3: Cross multiply
    21,138.46x = 31,708 × 10,046.28
  4. Step 4: Simplify right side
    21,138.46x = 318,547,446.24
  5. Step 5: Solve for x
    x = 318,547,446.24/21,138.46
  6. Step 6: Final answer
    x = 15,069.57

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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.