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Finding the Fourth Proportional to 10,374.57, 15,559.49 and 2,978.97

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Solution

The fourth proportional to 10,374.57, 15,559.49 and 2,978.97 is: 4,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.57 : 15,559.49 = 2,978.97 : x
  2. Step 2: Convert to fraction form
    10,374.57/15,559.49 = 2,978.97/x
  3. Step 3: Cross multiply
    10,374.57x = 15,559.49 × 2,978.97
  4. Step 4: Simplify right side
    10,374.57x = 46,351,239.03
  5. Step 5: Solve for x
    x = 46,351,239.03/10,374.57
  6. Step 6: Final answer
    x = 4,467.77

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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.