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Finding the Fourth Proportional to 10,119, 13,964.40 and 5,927.16

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Solution

The fourth proportional to 10,119, 13,964.40 and 5,927.16 is: 8,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119 : 13,964.40 = 5,927.16 : x
  2. Step 2: Convert to fraction form
    10,119/13,964.40 = 5,927.16/x
  3. Step 3: Cross multiply
    10,119x = 13,964.40 × 5,927.16
  4. Step 4: Simplify right side
    10,119x = 82,769,233.10
  5. Step 5: Solve for x
    x = 82,769,233.10/10,119
  6. Step 6: Final answer
    x = 8,179.59

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1.5x scale

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.