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Finding the Fourth Proportional to 12,108.53, 16,708 and 6,802.29

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Solution

The fourth proportional to 12,108.53, 16,708 and 6,802.29 is: 9,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,108.53 : 16,708 = 6,802.29 : x
  2. Step 2: Convert to fraction form
    12,108.53/16,708 = 6,802.29/x
  3. Step 3: Cross multiply
    12,108.53x = 16,708 × 6,802.29
  4. Step 4: Simplify right side
    12,108.53x = 113,652,661.32
  5. Step 5: Solve for x
    x = 113,652,661.32/12,108.53
  6. Step 6: Final answer
    x = 9,386.17

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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.