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Finding the Fourth Proportional to 10,408.80, 14,364 and 5,693.04

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Solution

The fourth proportional to 10,408.80, 14,364 and 5,693.04 is: 7,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.80 : 14,364 = 5,693.04 : x
  2. Step 2: Convert to fraction form
    10,408.80/14,364 = 5,693.04/x
  3. Step 3: Cross multiply
    10,408.80x = 14,364 × 5,693.04
  4. Step 4: Simplify right side
    10,408.80x = 81,774,826.56
  5. Step 5: Solve for x
    x = 81,774,826.56/10,408.80
  6. Step 6: Final answer
    x = 7,856.32

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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.