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Finding the Fourth Proportional to 25,677, 38,521.99 and 7,209

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Solution

The fourth proportional to 25,677, 38,521.99 and 7,209 is: 10,815.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,677 : 38,521.99 = 7,209 : x
  2. Step 2: Convert to fraction form
    25,677/38,521.99 = 7,209/x
  3. Step 3: Cross multiply
    25,677x = 38,521.99 × 7,209
  4. Step 4: Simplify right side
    25,677x = 277,705,025.91
  5. Step 5: Solve for x
    x = 277,705,025.91/25,677
  6. Step 6: Final answer
    x = 10,815.32

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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.