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Finding the Fourth Proportional to 10,398.13, 14,347.42 and 5,921.79

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Solution

The fourth proportional to 10,398.13, 14,347.42 and 5,921.79 is: 8,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.13 : 14,347.42 = 5,921.79 : x
  2. Step 2: Convert to fraction form
    10,398.13/14,347.42 = 5,921.79/x
  3. Step 3: Cross multiply
    10,398.13x = 14,347.42 × 5,921.79
  4. Step 4: Simplify right side
    10,398.13x = 84,962,408.28
  5. Step 5: Solve for x
    x = 84,962,408.28/10,398.13
  6. Step 6: Final answer
    x = 8,170.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.