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Finding the Fourth Proportional to 13,842.88, 19,104.19 and 7,876.47

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Solution

The fourth proportional to 13,842.88, 19,104.19 and 7,876.47 is: 10,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.88 : 19,104.19 = 7,876.47 : x
  2. Step 2: Convert to fraction form
    13,842.88/19,104.19 = 7,876.47/x
  3. Step 3: Cross multiply
    13,842.88x = 19,104.19 × 7,876.47
  4. Step 4: Simplify right side
    13,842.88x = 150,473,579.41
  5. Step 5: Solve for x
    x = 150,473,579.41/13,842.88
  6. Step 6: Final answer
    x = 10,870.11

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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.