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Finding the Fourth Proportional to 14,122.78, 19,488.77 and 7,749.22

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Solution

The fourth proportional to 14,122.78, 19,488.77 and 7,749.22 is: 10,693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.78 : 19,488.77 = 7,749.22 : x
  2. Step 2: Convert to fraction form
    14,122.78/19,488.77 = 7,749.22/x
  3. Step 3: Cross multiply
    14,122.78x = 19,488.77 × 7,749.22
  4. Step 4: Simplify right side
    14,122.78x = 151,022,766.26
  5. Step 5: Solve for x
    x = 151,022,766.26/14,122.78
  6. Step 6: Final answer
    x = 10,693.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.