Home / 10,422-14,382.36-5,706.45

Finding the Fourth Proportional to 10,422, 14,382.36 and 5,706.45

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Solution

The fourth proportional to 10,422, 14,382.36 and 5,706.45 is: 7,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422 : 14,382.36 = 5,706.45 : x
  2. Step 2: Convert to fraction form
    10,422/14,382.36 = 5,706.45/x
  3. Step 3: Cross multiply
    10,422x = 14,382.36 × 5,706.45
  4. Step 4: Simplify right side
    10,422x = 82,072,218.22
  5. Step 5: Solve for x
    x = 82,072,218.22/10,422
  6. Step 6: Final answer
    x = 7,874.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.