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Finding the Fourth Proportional to 15,238.95, 22,858.43 and 7,442.30

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Solution

The fourth proportional to 15,238.95, 22,858.43 and 7,442.30 is: 11,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.95 : 22,858.43 = 7,442.30 : x
  2. Step 2: Convert to fraction form
    15,238.95/22,858.43 = 7,442.30/x
  3. Step 3: Cross multiply
    15,238.95x = 22,858.43 × 7,442.30
  4. Step 4: Simplify right side
    15,238.95x = 170,119,205.88
  5. Step 5: Solve for x
    x = 170,119,205.88/15,238.95
  6. Step 6: Final answer
    x = 11,163.45

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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.