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Finding the Fourth Proportional to 13,771.44, 19,001.44 and 7,801.74

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Solution

The fourth proportional to 13,771.44, 19,001.44 and 7,801.74 is: 10,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.44 : 19,001.44 = 7,801.74 : x
  2. Step 2: Convert to fraction form
    13,771.44/19,001.44 = 7,801.74/x
  3. Step 3: Cross multiply
    13,771.44x = 19,001.44 × 7,801.74
  4. Step 4: Simplify right side
    13,771.44x = 148,244,294.51
  5. Step 5: Solve for x
    x = 148,244,294.51/13,771.44
  6. Step 6: Final answer
    x = 10,764.62

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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.