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Finding the Fourth Proportional to 12,003.58, 16,545.99 and 8,461.18

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Solution

The fourth proportional to 12,003.58, 16,545.99 and 8,461.18 is: 11,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.58 : 16,545.99 = 8,461.18 : x
  2. Step 2: Convert to fraction form
    12,003.58/16,545.99 = 8,461.18/x
  3. Step 3: Cross multiply
    12,003.58x = 16,545.99 × 8,461.18
  4. Step 4: Simplify right side
    12,003.58x = 139,998,599.67
  5. Step 5: Solve for x
    x = 139,998,599.67/12,003.58
  6. Step 6: Final answer
    x = 11,663.07

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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.