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Finding the Fourth Proportional to 52,115.74, 71,919.54 and 28,243

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Solution

The fourth proportional to 52,115.74, 71,919.54 and 28,243 is: 38,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,115.74 : 71,919.54 = 28,243 : x
  2. Step 2: Convert to fraction form
    52,115.74/71,919.54 = 28,243/x
  3. Step 3: Cross multiply
    52,115.74x = 71,919.54 × 28,243
  4. Step 4: Simplify right side
    52,115.74x = 2,031,223,568.22
  5. Step 5: Solve for x
    x = 2,031,223,568.22/52,115.74
  6. Step 6: Final answer
    x = 38,975.24

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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.