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Finding the Fourth Proportional to 8,681.96, 13,022.96 and 2,108.16

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Solution

The fourth proportional to 8,681.96, 13,022.96 and 2,108.16 is: 3,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.96 : 13,022.96 = 2,108.16 : x
  2. Step 2: Convert to fraction form
    8,681.96/13,022.96 = 2,108.16/x
  3. Step 3: Cross multiply
    8,681.96x = 13,022.96 × 2,108.16
  4. Step 4: Simplify right side
    8,681.96x = 27,454,483.35
  5. Step 5: Solve for x
    x = 27,454,483.35/8,681.96
  6. Step 6: Final answer
    x = 3,162.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.