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Finding the Fourth Proportional to 16,220.93, 22,384.90 and 9,505.22

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Solution

The fourth proportional to 16,220.93, 22,384.90 and 9,505.22 is: 13,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.93 : 22,384.90 = 9,505.22 : x
  2. Step 2: Convert to fraction form
    16,220.93/22,384.90 = 9,505.22/x
  3. Step 3: Cross multiply
    16,220.93x = 22,384.90 × 9,505.22
  4. Step 4: Simplify right side
    16,220.93x = 212,773,399.18
  5. Step 5: Solve for x
    x = 212,773,399.18/16,220.93
  6. Step 6: Final answer
    x = 13,117.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.