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Finding the Fourth Proportional to 9,945.72, 13,721.16 and 6,411

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Solution

The fourth proportional to 9,945.72, 13,721.16 and 6,411 is: 8,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945.72 : 13,721.16 = 6,411 : x
  2. Step 2: Convert to fraction form
    9,945.72/13,721.16 = 6,411/x
  3. Step 3: Cross multiply
    9,945.72x = 13,721.16 × 6,411
  4. Step 4: Simplify right side
    9,945.72x = 87,966,356.76
  5. Step 5: Solve for x
    x = 87,966,356.76/9,945.72
  6. Step 6: Final answer
    x = 8,844.64

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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.