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Finding the Fourth Proportional to 10,660.23, 15,991.65 and 5,723.10

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Solution

The fourth proportional to 10,660.23, 15,991.65 and 5,723.10 is: 8,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.23 : 15,991.65 = 5,723.10 : x
  2. Step 2: Convert to fraction form
    10,660.23/15,991.65 = 5,723.10/x
  3. Step 3: Cross multiply
    10,660.23x = 15,991.65 × 5,723.10
  4. Step 4: Simplify right side
    10,660.23x = 91,521,812.12
  5. Step 5: Solve for x
    x = 91,521,812.12/10,660.23
  6. Step 6: Final answer
    x = 8,585.35

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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.