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Finding the Fourth Proportional to 13,886.80, 20,805.92 and 11,561.74

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Solution

The fourth proportional to 13,886.80, 20,805.92 and 11,561.74 is: 17,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.80 : 20,805.92 = 11,561.74 : x
  2. Step 2: Convert to fraction form
    13,886.80/20,805.92 = 11,561.74/x
  3. Step 3: Cross multiply
    13,886.80x = 20,805.92 × 11,561.74
  4. Step 4: Simplify right side
    13,886.80x = 240,552,637.50
  5. Step 5: Solve for x
    x = 240,552,637.50/13,886.80
  6. Step 6: Final answer
    x = 17,322.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.