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Finding the Fourth Proportional to 6,866.10, 10,299.87 and 2,970.90

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Solution

The fourth proportional to 6,866.10, 10,299.87 and 2,970.90 is: 4,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.10 : 10,299.87 = 2,970.90 : x
  2. Step 2: Convert to fraction form
    6,866.10/10,299.87 = 2,970.90/x
  3. Step 3: Cross multiply
    6,866.10x = 10,299.87 × 2,970.90
  4. Step 4: Simplify right side
    6,866.10x = 30,599,883.78
  5. Step 5: Solve for x
    x = 30,599,883.78/6,866.10
  6. Step 6: Final answer
    x = 4,456.66

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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.