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Finding the Fourth Proportional to 15,354, 23,031 and 4,965.75

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Solution

The fourth proportional to 15,354, 23,031 and 4,965.75 is: 7,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,354 : 23,031 = 4,965.75 : x
  2. Step 2: Convert to fraction form
    15,354/23,031 = 4,965.75/x
  3. Step 3: Cross multiply
    15,354x = 23,031 × 4,965.75
  4. Step 4: Simplify right side
    15,354x = 114,366,188.25
  5. Step 5: Solve for x
    x = 114,366,188.25/15,354
  6. Step 6: Final answer
    x = 7,448.63

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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.