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Finding the Fourth Proportional to 9,861, 13,610.49 and 6,504.42

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Solution

The fourth proportional to 9,861, 13,610.49 and 6,504.42 is: 8,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861 : 13,610.49 = 6,504.42 : x
  2. Step 2: Convert to fraction form
    9,861/13,610.49 = 6,504.42/x
  3. Step 3: Cross multiply
    9,861x = 13,610.49 × 6,504.42
  4. Step 4: Simplify right side
    9,861x = 88,528,343.37
  5. Step 5: Solve for x
    x = 88,528,343.37/9,861
  6. Step 6: Final answer
    x = 8,977.62

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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.