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Finding the Fourth Proportional to 16,647.14, 22,970.96 and 9,477.98

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Solution

The fourth proportional to 16,647.14, 22,970.96 and 9,477.98 is: 13,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.14 : 22,970.96 = 9,477.98 : x
  2. Step 2: Convert to fraction form
    16,647.14/22,970.96 = 9,477.98/x
  3. Step 3: Cross multiply
    16,647.14x = 22,970.96 × 9,477.98
  4. Step 4: Simplify right side
    16,647.14x = 217,718,299.46
  5. Step 5: Solve for x
    x = 217,718,299.46/16,647.14
  6. Step 6: Final answer
    x = 13,078.42

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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.