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Finding the Fourth Proportional to 13,968, 19,275.84 and 8,380.80

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Solution

The fourth proportional to 13,968, 19,275.84 and 8,380.80 is: 11,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,968 : 19,275.84 = 8,380.80 : x
  2. Step 2: Convert to fraction form
    13,968/19,275.84 = 8,380.80/x
  3. Step 3: Cross multiply
    13,968x = 19,275.84 × 8,380.80
  4. Step 4: Simplify right side
    13,968x = 161,546,959.87
  5. Step 5: Solve for x
    x = 161,546,959.87/13,968
  6. Step 6: Final answer
    x = 11,565.50

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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.