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Finding the Fourth Proportional to 12,521, 18,787.98 and 6,365

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Solution

The fourth proportional to 12,521, 18,787.98 and 6,365 is: 9,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,521 : 18,787.98 = 6,365 : x
  2. Step 2: Convert to fraction form
    12,521/18,787.98 = 6,365/x
  3. Step 3: Cross multiply
    12,521x = 18,787.98 × 6,365
  4. Step 4: Simplify right side
    12,521x = 119,585,492.70
  5. Step 5: Solve for x
    x = 119,585,492.70/12,521
  6. Step 6: Final answer
    x = 9,550.79

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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.