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Finding the Fourth Proportional to 6,710.80, 10,064.76 and 2,091.28

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Solution

The fourth proportional to 6,710.80, 10,064.76 and 2,091.28 is: 3,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.80 : 10,064.76 = 2,091.28 : x
  2. Step 2: Convert to fraction form
    6,710.80/10,064.76 = 2,091.28/x
  3. Step 3: Cross multiply
    6,710.80x = 10,064.76 × 2,091.28
  4. Step 4: Simplify right side
    6,710.80x = 21,048,231.29
  5. Step 5: Solve for x
    x = 21,048,231.29/6,710.80
  6. Step 6: Final answer
    x = 3,136.47

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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.