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Finding the Fourth Proportional to 10,686, 14,746.68 and 5,971.40

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Solution

The fourth proportional to 10,686, 14,746.68 and 5,971.40 is: 8,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686 : 14,746.68 = 5,971.40 : x
  2. Step 2: Convert to fraction form
    10,686/14,746.68 = 5,971.40/x
  3. Step 3: Cross multiply
    10,686x = 14,746.68 × 5,971.40
  4. Step 4: Simplify right side
    10,686x = 88,058,251.22
  5. Step 5: Solve for x
    x = 88,058,251.22/10,686
  6. Step 6: Final answer
    x = 8,240.53

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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.