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Finding the Fourth Proportional to 16,570, 22,866.30 and 9,399.88

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Solution

The fourth proportional to 16,570, 22,866.30 and 9,399.88 is: 12,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570 : 22,866.30 = 9,399.88 : x
  2. Step 2: Convert to fraction form
    16,570/22,866.30 = 9,399.88/x
  3. Step 3: Cross multiply
    16,570x = 22,866.30 × 9,399.88
  4. Step 4: Simplify right side
    16,570x = 214,940,476.04
  5. Step 5: Solve for x
    x = 214,940,476.04/16,570
  6. Step 6: Final answer
    x = 12,971.66

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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.