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Finding the Fourth Proportional to 5,207.12, 7,807.02 and 1,919.79

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Solution

The fourth proportional to 5,207.12, 7,807.02 and 1,919.79 is: 2,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.12 : 7,807.02 = 1,919.79 : x
  2. Step 2: Convert to fraction form
    5,207.12/7,807.02 = 1,919.79/x
  3. Step 3: Cross multiply
    5,207.12x = 7,807.02 × 1,919.79
  4. Step 4: Simplify right side
    5,207.12x = 14,987,838.93
  5. Step 5: Solve for x
    x = 14,987,838.93/5,207.12
  6. Step 6: Final answer
    x = 2,878.34

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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.