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Finding the Fourth Proportional to 12,828.12, 17,702.87 and 7,523.02

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Solution

The fourth proportional to 12,828.12, 17,702.87 and 7,523.02 is: 10,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.12 : 17,702.87 = 7,523.02 : x
  2. Step 2: Convert to fraction form
    12,828.12/17,702.87 = 7,523.02/x
  3. Step 3: Cross multiply
    12,828.12x = 17,702.87 × 7,523.02
  4. Step 4: Simplify right side
    12,828.12x = 133,179,045.07
  5. Step 5: Solve for x
    x = 133,179,045.07/12,828.12
  6. Step 6: Final answer
    x = 10,381.81

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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.