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Finding the Fourth Proportional to 7,309.49, 10,075.23 and 5,713.31

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Solution

The fourth proportional to 7,309.49, 10,075.23 and 5,713.31 is: 7,875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.49 : 10,075.23 = 5,713.31 : x
  2. Step 2: Convert to fraction form
    7,309.49/10,075.23 = 5,713.31/x
  3. Step 3: Cross multiply
    7,309.49x = 10,075.23 × 5,713.31
  4. Step 4: Simplify right side
    7,309.49x = 57,562,861.94
  5. Step 5: Solve for x
    x = 57,562,861.94/7,309.49
  6. Step 6: Final answer
    x = 7,875.09

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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.