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Finding the Fourth Proportional to 12,761.66, 17,619.66 and 9,772.16

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Solution

The fourth proportional to 12,761.66, 17,619.66 and 9,772.16 is: 13,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.66 : 17,619.66 = 9,772.16 : x
  2. Step 2: Convert to fraction form
    12,761.66/17,619.66 = 9,772.16/x
  3. Step 3: Cross multiply
    12,761.66x = 17,619.66 × 9,772.16
  4. Step 4: Simplify right side
    12,761.66x = 172,182,048.57
  5. Step 5: Solve for x
    x = 172,182,048.57/12,761.66
  6. Step 6: Final answer
    x = 13,492.13

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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.