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Finding the Fourth Proportional to 13,951.31, 19,253.42 and 7,984.85

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Solution

The fourth proportional to 13,951.31, 19,253.42 and 7,984.85 is: 11,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.31 : 19,253.42 = 7,984.85 : x
  2. Step 2: Convert to fraction form
    13,951.31/19,253.42 = 7,984.85/x
  3. Step 3: Cross multiply
    13,951.31x = 19,253.42 × 7,984.85
  4. Step 4: Simplify right side
    13,951.31x = 153,735,534.50
  5. Step 5: Solve for x
    x = 153,735,534.50/13,951.31
  6. Step 6: Final answer
    x = 11,019.44

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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.