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Finding the Fourth Proportional to 13,713.10, 18,924.20 and 8,047.93

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Solution

The fourth proportional to 13,713.10, 18,924.20 and 8,047.93 is: 11,106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.10 : 18,924.20 = 8,047.93 : x
  2. Step 2: Convert to fraction form
    13,713.10/18,924.20 = 8,047.93/x
  3. Step 3: Cross multiply
    13,713.10x = 18,924.20 × 8,047.93
  4. Step 4: Simplify right side
    13,713.10x = 152,300,636.91
  5. Step 5: Solve for x
    x = 152,300,636.91/13,713.10
  6. Step 6: Final answer
    x = 11,106.21

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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.