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Finding the Fourth Proportional to 13,567.91, 18,723.17 and 7,902.84

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Solution

The fourth proportional to 13,567.91, 18,723.17 and 7,902.84 is: 10,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.91 : 18,723.17 = 7,902.84 : x
  2. Step 2: Convert to fraction form
    13,567.91/18,723.17 = 7,902.84/x
  3. Step 3: Cross multiply
    13,567.91x = 18,723.17 × 7,902.84
  4. Step 4: Simplify right side
    13,567.91x = 147,966,236.56
  5. Step 5: Solve for x
    x = 147,966,236.56/13,567.91
  6. Step 6: Final answer
    x = 10,905.60

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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.