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Finding the Fourth Proportional to 10,866, 16,287.96 and 4,283.13

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Solution

The fourth proportional to 10,866, 16,287.96 and 4,283.13 is: 6,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866 : 16,287.96 = 4,283.13 : x
  2. Step 2: Convert to fraction form
    10,866/16,287.96 = 4,283.13/x
  3. Step 3: Cross multiply
    10,866x = 16,287.96 × 4,283.13
  4. Step 4: Simplify right side
    10,866x = 69,763,450.11
  5. Step 5: Solve for x
    x = 69,763,450.11/10,866
  6. Step 6: Final answer
    x = 6,420.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.