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Finding the Fourth Proportional to 5,207.29, 7,811.98 and 1,920.40

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Solution

The fourth proportional to 5,207.29, 7,811.98 and 1,920.40 is: 2,880.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.29 : 7,811.98 = 1,920.40 : x
  2. Step 2: Convert to fraction form
    5,207.29/7,811.98 = 1,920.40/x
  3. Step 3: Cross multiply
    5,207.29x = 7,811.98 × 1,920.40
  4. Step 4: Simplify right side
    5,207.29x = 15,002,126.39
  5. Step 5: Solve for x
    x = 15,002,126.39/5,207.29
  6. Step 6: Final answer
    x = 2,880.99

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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.