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Finding the Fourth Proportional to 10,713.60, 16,081.20 and 5,171.40

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Solution

The fourth proportional to 10,713.60, 16,081.20 and 5,171.40 is: 7,762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.60 : 16,081.20 = 5,171.40 : x
  2. Step 2: Convert to fraction form
    10,713.60/16,081.20 = 5,171.40/x
  3. Step 3: Cross multiply
    10,713.60x = 16,081.20 × 5,171.40
  4. Step 4: Simplify right side
    10,713.60x = 83,162,317.68
  5. Step 5: Solve for x
    x = 83,162,317.68/10,713.60
  6. Step 6: Final answer
    x = 7,762.31

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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.