Home / 10,232-14,120.16-5,816

Finding the Fourth Proportional to 10,232, 14,120.16 and 5,816

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Solution

The fourth proportional to 10,232, 14,120.16 and 5,816 is: 8,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232 : 14,120.16 = 5,816 : x
  2. Step 2: Convert to fraction form
    10,232/14,120.16 = 5,816/x
  3. Step 3: Cross multiply
    10,232x = 14,120.16 × 5,816
  4. Step 4: Simplify right side
    10,232x = 82,122,850.56
  5. Step 5: Solve for x
    x = 82,122,850.56/10,232
  6. Step 6: Final answer
    x = 8,026.08

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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.