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Finding the Fourth Proportional to 11,502.25, 15,865.32 and 7,020.27

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Solution

The fourth proportional to 11,502.25, 15,865.32 and 7,020.27 is: 9,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.25 : 15,865.32 = 7,020.27 : x
  2. Step 2: Convert to fraction form
    11,502.25/15,865.32 = 7,020.27/x
  3. Step 3: Cross multiply
    11,502.25x = 15,865.32 × 7,020.27
  4. Step 4: Simplify right side
    11,502.25x = 111,378,816.87
  5. Step 5: Solve for x
    x = 111,378,816.87/11,502.25
  6. Step 6: Final answer
    x = 9,683.22

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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.