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Finding the Fourth Proportional to 36,782, 50,743.40 and 28,792.16

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Solution

The fourth proportional to 36,782, 50,743.40 and 28,792.16 is: 39,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,782 : 50,743.40 = 28,792.16 : x
  2. Step 2: Convert to fraction form
    36,782/50,743.40 = 28,792.16/x
  3. Step 3: Cross multiply
    36,782x = 50,743.40 × 28,792.16
  4. Step 4: Simplify right side
    36,782x = 1,461,012,091.74
  5. Step 5: Solve for x
    x = 1,461,012,091.74/36,782
  6. Step 6: Final answer
    x = 39,720.84

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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.