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Finding the Fourth Proportional to 4,999.70, 7,494.06 and 2,807.30

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Solution

The fourth proportional to 4,999.70, 7,494.06 and 2,807.30 is: 4,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.70 : 7,494.06 = 2,807.30 : x
  2. Step 2: Convert to fraction form
    4,999.70/7,494.06 = 2,807.30/x
  3. Step 3: Cross multiply
    4,999.70x = 7,494.06 × 2,807.30
  4. Step 4: Simplify right side
    4,999.70x = 21,038,074.64
  5. Step 5: Solve for x
    x = 21,038,074.64/4,999.70
  6. Step 6: Final answer
    x = 4,207.87

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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.