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Finding the Fourth Proportional to 12,767.96, 17,621.31 and 7,732.06

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Solution

The fourth proportional to 12,767.96, 17,621.31 and 7,732.06 is: 10,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.96 : 17,621.31 = 7,732.06 : x
  2. Step 2: Convert to fraction form
    12,767.96/17,621.31 = 7,732.06/x
  3. Step 3: Cross multiply
    12,767.96x = 17,621.31 × 7,732.06
  4. Step 4: Simplify right side
    12,767.96x = 136,249,011.14
  5. Step 5: Solve for x
    x = 136,249,011.14/12,767.96
  6. Step 6: Final answer
    x = 10,671.16

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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.