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Finding the Fourth Proportional to 15,817.78, 21,827.43 and 8,743.64

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Solution

The fourth proportional to 15,817.78, 21,827.43 and 8,743.64 is: 12,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.78 : 21,827.43 = 8,743.64 : x
  2. Step 2: Convert to fraction form
    15,817.78/21,827.43 = 8,743.64/x
  3. Step 3: Cross multiply
    15,817.78x = 21,827.43 × 8,743.64
  4. Step 4: Simplify right side
    15,817.78x = 190,851,228.28
  5. Step 5: Solve for x
    x = 190,851,228.28/15,817.78
  6. Step 6: Final answer
    x = 12,065.62

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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.