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Finding the Fourth Proportional to 10,827, 16,156.71 and 9,660.60

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Solution

The fourth proportional to 10,827, 16,156.71 and 9,660.60 is: 14,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827 : 16,156.71 = 9,660.60 : x
  2. Step 2: Convert to fraction form
    10,827/16,156.71 = 9,660.60/x
  3. Step 3: Cross multiply
    10,827x = 16,156.71 × 9,660.60
  4. Step 4: Simplify right side
    10,827x = 156,083,512.63
  5. Step 5: Solve for x
    x = 156,083,512.63/10,827
  6. Step 6: Final answer
    x = 14,416.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.