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Finding the Fourth Proportional to 11,897.79, 16,416.78 and 7,647.41

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Solution

The fourth proportional to 11,897.79, 16,416.78 and 7,647.41 is: 10,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.79 : 16,416.78 = 7,647.41 : x
  2. Step 2: Convert to fraction form
    11,897.79/16,416.78 = 7,647.41/x
  3. Step 3: Cross multiply
    11,897.79x = 16,416.78 × 7,647.41
  4. Step 4: Simplify right side
    11,897.79x = 125,545,859.90
  5. Step 5: Solve for x
    x = 125,545,859.90/11,897.79
  6. Step 6: Final answer
    x = 10,552.04

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1.5x scale

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.