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Finding the Fourth Proportional to 14,015.84, 20,996.88 and 7,864.16

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Solution

The fourth proportional to 14,015.84, 20,996.88 and 7,864.16 is: 11,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015.84 : 20,996.88 = 7,864.16 : x
  2. Step 2: Convert to fraction form
    14,015.84/20,996.88 = 7,864.16/x
  3. Step 3: Cross multiply
    14,015.84x = 20,996.88 × 7,864.16
  4. Step 4: Simplify right side
    14,015.84x = 165,122,823.82
  5. Step 5: Solve for x
    x = 165,122,823.82/14,015.84
  6. Step 6: Final answer
    x = 11,781.16

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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.