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Finding the Fourth Proportional to 16,080, 22,190.40 and 9,006.41

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Solution

The fourth proportional to 16,080, 22,190.40 and 9,006.41 is: 12,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,080 : 22,190.40 = 9,006.41 : x
  2. Step 2: Convert to fraction form
    16,080/22,190.40 = 9,006.41/x
  3. Step 3: Cross multiply
    16,080x = 22,190.40 × 9,006.41
  4. Step 4: Simplify right side
    16,080x = 199,855,729.51
  5. Step 5: Solve for x
    x = 199,855,729.51/16,080
  6. Step 6: Final answer
    x = 12,428.84

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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.