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Finding the Fourth Proportional to 12,285.10, 16,953.79 and 7,505.83

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Solution

The fourth proportional to 12,285.10, 16,953.79 and 7,505.83 is: 10,358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.10 : 16,953.79 = 7,505.83 : x
  2. Step 2: Convert to fraction form
    12,285.10/16,953.79 = 7,505.83/x
  3. Step 3: Cross multiply
    12,285.10x = 16,953.79 × 7,505.83
  4. Step 4: Simplify right side
    12,285.10x = 127,252,180.83
  5. Step 5: Solve for x
    x = 127,252,180.83/12,285.10
  6. Step 6: Final answer
    x = 10,358.26

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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.