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Finding the Fourth Proportional to 6,991.43, 10,501.73 and 4,075.43

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Solution

The fourth proportional to 6,991.43, 10,501.73 and 4,075.43 is: 6,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.43 : 10,501.73 = 4,075.43 : x
  2. Step 2: Convert to fraction form
    6,991.43/10,501.73 = 4,075.43/x
  3. Step 3: Cross multiply
    6,991.43x = 10,501.73 × 4,075.43
  4. Step 4: Simplify right side
    6,991.43x = 42,799,045.12
  5. Step 5: Solve for x
    x = 42,799,045.12/6,991.43
  6. Step 6: Final answer
    x = 6,121.64

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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.