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Finding the Fourth Proportional to 12,994.29, 17,924.90 and 7,957.71

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Solution

The fourth proportional to 12,994.29, 17,924.90 and 7,957.71 is: 10,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.29 : 17,924.90 = 7,957.71 : x
  2. Step 2: Convert to fraction form
    12,994.29/17,924.90 = 7,957.71/x
  3. Step 3: Cross multiply
    12,994.29x = 17,924.90 × 7,957.71
  4. Step 4: Simplify right side
    12,994.29x = 142,641,116.19
  5. Step 5: Solve for x
    x = 142,641,116.19/12,994.29
  6. Step 6: Final answer
    x = 10,977.22

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1.5x scale

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.