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Finding the Fourth Proportional to 22,982.64, 31,715.64 and 12,911.16

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Solution

The fourth proportional to 22,982.64, 31,715.64 and 12,911.16 is: 17,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.64 : 31,715.64 = 12,911.16 : x
  2. Step 2: Convert to fraction form
    22,982.64/31,715.64 = 12,911.16/x
  3. Step 3: Cross multiply
    22,982.64x = 31,715.64 × 12,911.16
  4. Step 4: Simplify right side
    22,982.64x = 409,485,702.54
  5. Step 5: Solve for x
    x = 409,485,702.54/22,982.64
  6. Step 6: Final answer
    x = 17,817.17

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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.