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Finding the Fourth Proportional to 13,075.72, 18,044.94 and 7,410.40

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Solution

The fourth proportional to 13,075.72, 18,044.94 and 7,410.40 is: 10,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,075.72 : 18,044.94 = 7,410.40 : x
  2. Step 2: Convert to fraction form
    13,075.72/18,044.94 = 7,410.40/x
  3. Step 3: Cross multiply
    13,075.72x = 18,044.94 × 7,410.40
  4. Step 4: Simplify right side
    13,075.72x = 133,720,223.38
  5. Step 5: Solve for x
    x = 133,720,223.38/13,075.72
  6. Step 6: Final answer
    x = 10,226.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.