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Finding the Fourth Proportional to 15,389.09, 23,075.42 and 7,986.09

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Solution

The fourth proportional to 15,389.09, 23,075.42 and 7,986.09 is: 11,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,389.09 : 23,075.42 = 7,986.09 : x
  2. Step 2: Convert to fraction form
    15,389.09/23,075.42 = 7,986.09/x
  3. Step 3: Cross multiply
    15,389.09x = 23,075.42 × 7,986.09
  4. Step 4: Simplify right side
    15,389.09x = 184,282,340.98
  5. Step 5: Solve for x
    x = 184,282,340.98/15,389.09
  6. Step 6: Final answer
    x = 11,974.87

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1.5x scale

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.