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Finding the Fourth Proportional to 15,783.84, 21,781.83 and 8,613.81

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Solution

The fourth proportional to 15,783.84, 21,781.83 and 8,613.81 is: 11,887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.84 : 21,781.83 = 8,613.81 : x
  2. Step 2: Convert to fraction form
    15,783.84/21,781.83 = 8,613.81/x
  3. Step 3: Cross multiply
    15,783.84x = 21,781.83 × 8,613.81
  4. Step 4: Simplify right side
    15,783.84x = 187,624,553.61
  5. Step 5: Solve for x
    x = 187,624,553.61/15,783.84
  6. Step 6: Final answer
    x = 11,887.13

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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.