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Finding the Fourth Proportional to 15,814.34, 21,824.61 and 9,099.98

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Solution

The fourth proportional to 15,814.34, 21,824.61 and 9,099.98 is: 12,558.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.34 : 21,824.61 = 9,099.98 : x
  2. Step 2: Convert to fraction form
    15,814.34/21,824.61 = 9,099.98/x
  3. Step 3: Cross multiply
    15,814.34x = 21,824.61 × 9,099.98
  4. Step 4: Simplify right side
    15,814.34x = 198,603,514.51
  5. Step 5: Solve for x
    x = 198,603,514.51/15,814.34
  6. Step 6: Final answer
    x = 12,558.44

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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.