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Finding the Fourth Proportional to 10,209, 14,082.96 and 6,846.03

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Solution

The fourth proportional to 10,209, 14,082.96 and 6,846.03 is: 9,443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209 : 14,082.96 = 6,846.03 : x
  2. Step 2: Convert to fraction form
    10,209/14,082.96 = 6,846.03/x
  3. Step 3: Cross multiply
    10,209x = 14,082.96 × 6,846.03
  4. Step 4: Simplify right side
    10,209x = 96,412,366.65
  5. Step 5: Solve for x
    x = 96,412,366.65/10,209
  6. Step 6: Final answer
    x = 9,443.86

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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.