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Finding the Fourth Proportional to 6,911.49, 10,371.54 and 2,807.49

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Solution

The fourth proportional to 6,911.49, 10,371.54 and 2,807.49 is: 4,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.49 : 10,371.54 = 2,807.49 : x
  2. Step 2: Convert to fraction form
    6,911.49/10,371.54 = 2,807.49/x
  3. Step 3: Cross multiply
    6,911.49x = 10,371.54 × 2,807.49
  4. Step 4: Simplify right side
    6,911.49x = 29,117,980.80
  5. Step 5: Solve for x
    x = 29,117,980.80/6,911.49
  6. Step 6: Final answer
    x = 4,212.98

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1.5x scale

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.