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Finding the Fourth Proportional to 8,410.12, 11,603.70 and 5,424.88

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Solution

The fourth proportional to 8,410.12, 11,603.70 and 5,424.88 is: 7,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.12 : 11,603.70 = 5,424.88 : x
  2. Step 2: Convert to fraction form
    8,410.12/11,603.70 = 5,424.88/x
  3. Step 3: Cross multiply
    8,410.12x = 11,603.70 × 5,424.88
  4. Step 4: Simplify right side
    8,410.12x = 62,948,680.06
  5. Step 5: Solve for x
    x = 62,948,680.06/8,410.12
  6. Step 6: Final answer
    x = 7,484.87

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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.