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Finding the Fourth Proportional to 4,995.79, 7,489.50 and 2,774.50

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Solution

The fourth proportional to 4,995.79, 7,489.50 and 2,774.50 is: 4,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995.79 : 7,489.50 = 2,774.50 : x
  2. Step 2: Convert to fraction form
    4,995.79/7,489.50 = 2,774.50/x
  3. Step 3: Cross multiply
    4,995.79x = 7,489.50 × 2,774.50
  4. Step 4: Simplify right side
    4,995.79x = 20,779,617.75
  5. Step 5: Solve for x
    x = 20,779,617.75/4,995.79
  6. Step 6: Final answer
    x = 4,159.43

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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.