Home / 10,617.84-15,930-5,427.36

Finding the Fourth Proportional to 10,617.84, 15,930 and 5,427.36

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Solution

The fourth proportional to 10,617.84, 15,930 and 5,427.36 is: 8,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.84 : 15,930 = 5,427.36 : x
  2. Step 2: Convert to fraction form
    10,617.84/15,930 = 5,427.36/x
  3. Step 3: Cross multiply
    10,617.84x = 15,930 × 5,427.36
  4. Step 4: Simplify right side
    10,617.84x = 86,457,844.80
  5. Step 5: Solve for x
    x = 86,457,844.80/10,617.84
  6. Step 6: Final answer
    x = 8,142.70

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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.