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Finding the Fourth Proportional to 14,783.98, 22,178.89 and 5,424.08

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Solution

The fourth proportional to 14,783.98, 22,178.89 and 5,424.08 is: 8,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.98 : 22,178.89 = 5,424.08 : x
  2. Step 2: Convert to fraction form
    14,783.98/22,178.89 = 5,424.08/x
  3. Step 3: Cross multiply
    14,783.98x = 22,178.89 × 5,424.08
  4. Step 4: Simplify right side
    14,783.98x = 120,299,962.78
  5. Step 5: Solve for x
    x = 120,299,962.78/14,783.98
  6. Step 6: Final answer
    x = 8,137.18

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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.