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Finding the Fourth Proportional to 25,200, 34,784.64 and 15,264

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Solution

The fourth proportional to 25,200, 34,784.64 and 15,264 is: 21,069.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,200 : 34,784.64 = 15,264 : x
  2. Step 2: Convert to fraction form
    25,200/34,784.64 = 15,264/x
  3. Step 3: Cross multiply
    25,200x = 34,784.64 × 15,264
  4. Step 4: Simplify right side
    25,200x = 530,952,744.96
  5. Step 5: Solve for x
    x = 530,952,744.96/25,200
  6. Step 6: Final answer
    x = 21,069.55

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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.