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Finding the Fourth Proportional to 22,307.70, 30,784.15 and 12,235.96

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Solution

The fourth proportional to 22,307.70, 30,784.15 and 12,235.96 is: 16,885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.70 : 30,784.15 = 12,235.96 : x
  2. Step 2: Convert to fraction form
    22,307.70/30,784.15 = 12,235.96/x
  3. Step 3: Cross multiply
    22,307.70x = 30,784.15 × 12,235.96
  4. Step 4: Simplify right side
    22,307.70x = 376,673,681.81
  5. Step 5: Solve for x
    x = 376,673,681.81/22,307.70
  6. Step 6: Final answer
    x = 16,885.36

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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.