Home / 13,824.78-19,078.16-7,537.20

Finding the Fourth Proportional to 13,824.78, 19,078.16 and 7,537.20

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Solution

The fourth proportional to 13,824.78, 19,078.16 and 7,537.20 is: 10,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.78 : 19,078.16 = 7,537.20 : x
  2. Step 2: Convert to fraction form
    13,824.78/19,078.16 = 7,537.20/x
  3. Step 3: Cross multiply
    13,824.78x = 19,078.16 × 7,537.20
  4. Step 4: Simplify right side
    13,824.78x = 143,795,907.55
  5. Step 5: Solve for x
    x = 143,795,907.55/13,824.78
  6. Step 6: Final answer
    x = 10,401.32

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1.5x scale

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.