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Finding the Fourth Proportional to 10,088, 13,921.44 and 5,672

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Solution

The fourth proportional to 10,088, 13,921.44 and 5,672 is: 7,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088 : 13,921.44 = 5,672 : x
  2. Step 2: Convert to fraction form
    10,088/13,921.44 = 5,672/x
  3. Step 3: Cross multiply
    10,088x = 13,921.44 × 5,672
  4. Step 4: Simplify right side
    10,088x = 78,962,407.68
  5. Step 5: Solve for x
    x = 78,962,407.68/10,088
  6. Step 6: Final answer
    x = 7,827.36

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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.