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Finding the Fourth Proportional to 10,861.60, 16,261.40 and 9,823.60

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Solution

The fourth proportional to 10,861.60, 16,261.40 and 9,823.60 is: 14,707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.60 : 16,261.40 = 9,823.60 : x
  2. Step 2: Convert to fraction form
    10,861.60/16,261.40 = 9,823.60/x
  3. Step 3: Cross multiply
    10,861.60x = 16,261.40 × 9,823.60
  4. Step 4: Simplify right side
    10,861.60x = 159,745,489.04
  5. Step 5: Solve for x
    x = 159,745,489.04/10,861.60
  6. Step 6: Final answer
    x = 14,707.36

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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.