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Finding the Fourth Proportional to 10,802.78, 14,914.71 and 8,818.05

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Solution

The fourth proportional to 10,802.78, 14,914.71 and 8,818.05 is: 12,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.78 : 14,914.71 = 8,818.05 : x
  2. Step 2: Convert to fraction form
    10,802.78/14,914.71 = 8,818.05/x
  3. Step 3: Cross multiply
    10,802.78x = 14,914.71 × 8,818.05
  4. Step 4: Simplify right side
    10,802.78x = 131,518,658.52
  5. Step 5: Solve for x
    x = 131,518,658.52/10,802.78
  6. Step 6: Final answer
    x = 12,174.53

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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.