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Finding the Fourth Proportional to 10,637.61, 14,680.49 and 5,921.79

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Solution

The fourth proportional to 10,637.61, 14,680.49 and 5,921.79 is: 8,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.61 : 14,680.49 = 5,921.79 : x
  2. Step 2: Convert to fraction form
    10,637.61/14,680.49 = 5,921.79/x
  3. Step 3: Cross multiply
    10,637.61x = 14,680.49 × 5,921.79
  4. Step 4: Simplify right side
    10,637.61x = 86,934,749.27
  5. Step 5: Solve for x
    x = 86,934,749.27/10,637.61
  6. Step 6: Final answer
    x = 8,172.39

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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.