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Finding the Fourth Proportional to 4,299.24, 6,448.86 and 2,757

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Solution

The fourth proportional to 4,299.24, 6,448.86 and 2,757 is: 4,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.24 : 6,448.86 = 2,757 : x
  2. Step 2: Convert to fraction form
    4,299.24/6,448.86 = 2,757/x
  3. Step 3: Cross multiply
    4,299.24x = 6,448.86 × 2,757
  4. Step 4: Simplify right side
    4,299.24x = 17,779,507.02
  5. Step 5: Solve for x
    x = 17,779,507.02/4,299.24
  6. Step 6: Final answer
    x = 4,135.50

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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.