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Finding the Fourth Proportional to 8,972.79, 12,383.13 and 5,196.98

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Solution

The fourth proportional to 8,972.79, 12,383.13 and 5,196.98 is: 7,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.79 : 12,383.13 = 5,196.98 : x
  2. Step 2: Convert to fraction form
    8,972.79/12,383.13 = 5,196.98/x
  3. Step 3: Cross multiply
    8,972.79x = 12,383.13 × 5,196.98
  4. Step 4: Simplify right side
    8,972.79x = 64,354,817.03
  5. Step 5: Solve for x
    x = 64,354,817.03/8,972.79
  6. Step 6: Final answer
    x = 7,172.22

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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.