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Finding the Fourth Proportional to 13,968, 19,275.84 and 7,680.78

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Solution

The fourth proportional to 13,968, 19,275.84 and 7,680.78 is: 10,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,968 : 19,275.84 = 7,680.78 : x
  2. Step 2: Convert to fraction form
    13,968/19,275.84 = 7,680.78/x
  3. Step 3: Cross multiply
    13,968x = 19,275.84 × 7,680.78
  4. Step 4: Simplify right side
    13,968x = 148,053,486.36
  5. Step 5: Solve for x
    x = 148,053,486.36/13,968
  6. Step 6: Final answer
    x = 10,599.48

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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.