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Finding the Fourth Proportional to 13,959.20, 19,264.08 and 7,672.16

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Solution

The fourth proportional to 13,959.20, 19,264.08 and 7,672.16 is: 10,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959.20 : 19,264.08 = 7,672.16 : x
  2. Step 2: Convert to fraction form
    13,959.20/19,264.08 = 7,672.16/x
  3. Step 3: Cross multiply
    13,959.20x = 19,264.08 × 7,672.16
  4. Step 4: Simplify right side
    13,959.20x = 147,797,104.01
  5. Step 5: Solve for x
    x = 147,797,104.01/13,959.20
  6. Step 6: Final answer
    x = 10,587.79

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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.