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Finding the Fourth Proportional to 16,490.25, 22,756.55 and 9,038.25

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Solution

The fourth proportional to 16,490.25, 22,756.55 and 9,038.25 is: 12,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,490.25 : 22,756.55 = 9,038.25 : x
  2. Step 2: Convert to fraction form
    16,490.25/22,756.55 = 9,038.25/x
  3. Step 3: Cross multiply
    16,490.25x = 22,756.55 × 9,038.25
  4. Step 4: Simplify right side
    16,490.25x = 205,679,342.85
  5. Step 5: Solve for x
    x = 205,679,342.85/16,490.25
  6. Step 6: Final answer
    x = 12,472.79

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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.