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Finding the Fourth Proportional to 5,209.76, 7,813.80 and 1,924.40

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Solution

The fourth proportional to 5,209.76, 7,813.80 and 1,924.40 is: 2,886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.76 : 7,813.80 = 1,924.40 : x
  2. Step 2: Convert to fraction form
    5,209.76/7,813.80 = 1,924.40/x
  3. Step 3: Cross multiply
    5,209.76x = 7,813.80 × 1,924.40
  4. Step 4: Simplify right side
    5,209.76x = 15,036,876.72
  5. Step 5: Solve for x
    x = 15,036,876.72/5,209.76
  6. Step 6: Final answer
    x = 2,886.29

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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.