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Finding the Fourth Proportional to 15,362, 21,199.68 and 8,738

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Solution

The fourth proportional to 15,362, 21,199.68 and 8,738 is: 12,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,362 : 21,199.68 = 8,738 : x
  2. Step 2: Convert to fraction form
    15,362/21,199.68 = 8,738/x
  3. Step 3: Cross multiply
    15,362x = 21,199.68 × 8,738
  4. Step 4: Simplify right side
    15,362x = 185,242,803.84
  5. Step 5: Solve for x
    x = 185,242,803.84/15,362
  6. Step 6: Final answer
    x = 12,058.51

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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.