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Finding the Fourth Proportional to 13,968, 19,275.86 and 7,680.24

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Solution

The fourth proportional to 13,968, 19,275.86 and 7,680.24 is: 10,598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,968 : 19,275.86 = 7,680.24 : x
  2. Step 2: Convert to fraction form
    13,968/19,275.86 = 7,680.24/x
  3. Step 3: Cross multiply
    13,968x = 19,275.86 × 7,680.24
  4. Step 4: Simplify right side
    13,968x = 148,043,231.01
  5. Step 5: Solve for x
    x = 148,043,231.01/13,968
  6. Step 6: Final answer
    x = 10,598.74

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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.