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Finding the Fourth Proportional to 10,992.32, 15,168 and 6,275.36

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Solution

The fourth proportional to 10,992.32, 15,168 and 6,275.36 is: 8,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.32 : 15,168 = 6,275.36 : x
  2. Step 2: Convert to fraction form
    10,992.32/15,168 = 6,275.36/x
  3. Step 3: Cross multiply
    10,992.32x = 15,168 × 6,275.36
  4. Step 4: Simplify right side
    10,992.32x = 95,184,660.48
  5. Step 5: Solve for x
    x = 95,184,660.48/10,992.32
  6. Step 6: Final answer
    x = 8,659.20

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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.