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Finding the Fourth Proportional to 10,992.51, 15,170.03 and 6,212.40

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Solution

The fourth proportional to 10,992.51, 15,170.03 and 6,212.40 is: 8,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.51 : 15,170.03 = 6,212.40 : x
  2. Step 2: Convert to fraction form
    10,992.51/15,170.03 = 6,212.40/x
  3. Step 3: Cross multiply
    10,992.51x = 15,170.03 × 6,212.40
  4. Step 4: Simplify right side
    10,992.51x = 94,242,264.66
  5. Step 5: Solve for x
    x = 94,242,264.66/10,992.51
  6. Step 6: Final answer
    x = 8,573.32

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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.