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Finding the Fourth Proportional to 13,378.91, 18,460.92 and 7,713.21

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Solution

The fourth proportional to 13,378.91, 18,460.92 and 7,713.21 is: 10,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.91 : 18,460.92 = 7,713.21 : x
  2. Step 2: Convert to fraction form
    13,378.91/18,460.92 = 7,713.21/x
  3. Step 3: Cross multiply
    13,378.91x = 18,460.92 × 7,713.21
  4. Step 4: Simplify right side
    13,378.91x = 142,392,952.75
  5. Step 5: Solve for x
    x = 142,392,952.75/13,378.91
  6. Step 6: Final answer
    x = 10,643.09

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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.