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Finding the Fourth Proportional to 15,496.70, 21,390.93 and 9,209

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Solution

The fourth proportional to 15,496.70, 21,390.93 and 9,209 is: 12,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496.70 : 21,390.93 = 9,209 : x
  2. Step 2: Convert to fraction form
    15,496.70/21,390.93 = 9,209/x
  3. Step 3: Cross multiply
    15,496.70x = 21,390.93 × 9,209
  4. Step 4: Simplify right side
    15,496.70x = 196,989,074.37
  5. Step 5: Solve for x
    x = 196,989,074.37/15,496.70
  6. Step 6: Final answer
    x = 12,711.68

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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.