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Finding the Fourth Proportional to 12,708, 17,537.04 and 7,120.80

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Solution

The fourth proportional to 12,708, 17,537.04 and 7,120.80 is: 9,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708 : 17,537.04 = 7,120.80 : x
  2. Step 2: Convert to fraction form
    12,708/17,537.04 = 7,120.80/x
  3. Step 3: Cross multiply
    12,708x = 17,537.04 × 7,120.80
  4. Step 4: Simplify right side
    12,708x = 124,877,754.43
  5. Step 5: Solve for x
    x = 124,877,754.43/12,708
  6. Step 6: Final answer
    x = 9,826.70

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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.