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Finding the Fourth Proportional to 12,862.16, 17,746.92 and 7,829

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Solution

The fourth proportional to 12,862.16, 17,746.92 and 7,829 is: 10,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.16 : 17,746.92 = 7,829 : x
  2. Step 2: Convert to fraction form
    12,862.16/17,746.92 = 7,829/x
  3. Step 3: Cross multiply
    12,862.16x = 17,746.92 × 7,829
  4. Step 4: Simplify right side
    12,862.16x = 138,940,636.68
  5. Step 5: Solve for x
    x = 138,940,636.68/12,862.16
  6. Step 6: Final answer
    x = 10,802.28

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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.