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Finding the Fourth Proportional to 8,388, 12,583.44 and 2,545.20

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Solution

The fourth proportional to 8,388, 12,583.44 and 2,545.20 is: 3,818.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388 : 12,583.44 = 2,545.20 : x
  2. Step 2: Convert to fraction form
    8,388/12,583.44 = 2,545.20/x
  3. Step 3: Cross multiply
    8,388x = 12,583.44 × 2,545.20
  4. Step 4: Simplify right side
    8,388x = 32,027,371.49
  5. Step 5: Solve for x
    x = 32,027,371.49/8,388
  6. Step 6: Final answer
    x = 3,818.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.