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Finding the Fourth Proportional to 11,762.56, 17,728.39 and 10,138.71

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Solution

The fourth proportional to 11,762.56, 17,728.39 and 10,138.71 is: 15,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.56 : 17,728.39 = 10,138.71 : x
  2. Step 2: Convert to fraction form
    11,762.56/17,728.39 = 10,138.71/x
  3. Step 3: Cross multiply
    11,762.56x = 17,728.39 × 10,138.71
  4. Step 4: Simplify right side
    11,762.56x = 179,742,979.63
  5. Step 5: Solve for x
    x = 179,742,979.63/11,762.56
  6. Step 6: Final answer
    x = 15,280.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.