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Finding the Fourth Proportional to 13,713.46, 18,924.19 and 8,124.46

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Solution

The fourth proportional to 13,713.46, 18,924.19 and 8,124.46 is: 11,211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.46 : 18,924.19 = 8,124.46 : x
  2. Step 2: Convert to fraction form
    13,713.46/18,924.19 = 8,124.46/x
  3. Step 3: Cross multiply
    13,713.46x = 18,924.19 × 8,124.46
  4. Step 4: Simplify right side
    13,713.46x = 153,748,689.44
  5. Step 5: Solve for x
    x = 153,748,689.44/13,713.46
  6. Step 6: Final answer
    x = 11,211.52

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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.