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Finding the Fourth Proportional to 13,791.58, 19,034.35 and 7,742.46

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Solution

The fourth proportional to 13,791.58, 19,034.35 and 7,742.46 is: 10,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.58 : 19,034.35 = 7,742.46 : x
  2. Step 2: Convert to fraction form
    13,791.58/19,034.35 = 7,742.46/x
  3. Step 3: Cross multiply
    13,791.58x = 19,034.35 × 7,742.46
  4. Step 4: Simplify right side
    13,791.58x = 147,372,693.50
  5. Step 5: Solve for x
    x = 147,372,693.50/13,791.58
  6. Step 6: Final answer
    x = 10,685.70

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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.