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Finding the Fourth Proportional to 5,201.39, 7,801.31 and 1,913.72

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Solution

The fourth proportional to 5,201.39, 7,801.31 and 1,913.72 is: 2,870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.39 : 7,801.31 = 1,913.72 : x
  2. Step 2: Convert to fraction form
    5,201.39/7,801.31 = 1,913.72/x
  3. Step 3: Cross multiply
    5,201.39x = 7,801.31 × 1,913.72
  4. Step 4: Simplify right side
    5,201.39x = 14,929,488.75
  5. Step 5: Solve for x
    x = 14,929,488.75/5,201.39
  6. Step 6: Final answer
    x = 2,870.29

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1.5x scale

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.