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Finding the Fourth Proportional to 10,605.02, 15,907.49 and 2,813.90

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Solution

The fourth proportional to 10,605.02, 15,907.49 and 2,813.90 is: 4,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.02 : 15,907.49 = 2,813.90 : x
  2. Step 2: Convert to fraction form
    10,605.02/15,907.49 = 2,813.90/x
  3. Step 3: Cross multiply
    10,605.02x = 15,907.49 × 2,813.90
  4. Step 4: Simplify right side
    10,605.02x = 44,762,086.11
  5. Step 5: Solve for x
    x = 44,762,086.11/10,605.02
  6. Step 6: Final answer
    x = 4,220.84

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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.