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Finding the Fourth Proportional to 25,019.50, 34,528 and 13,841.50

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Solution

The fourth proportional to 25,019.50, 34,528 and 13,841.50 is: 19,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,019.50 : 34,528 = 13,841.50 : x
  2. Step 2: Convert to fraction form
    25,019.50/34,528 = 13,841.50/x
  3. Step 3: Cross multiply
    25,019.50x = 34,528 × 13,841.50
  4. Step 4: Simplify right side
    25,019.50x = 477,919,312
  5. Step 5: Solve for x
    x = 477,919,312/25,019.50
  6. Step 6: Final answer
    x = 19,101.87

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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.