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Finding the Fourth Proportional to 36,780, 50,740.64 and 28,790.16

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Solution

The fourth proportional to 36,780, 50,740.64 and 28,790.16 is: 39,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,780 : 50,740.64 = 28,790.16 : x
  2. Step 2: Convert to fraction form
    36,780/50,740.64 = 28,790.16/x
  3. Step 3: Cross multiply
    36,780x = 50,740.64 × 28,790.16
  4. Step 4: Simplify right side
    36,780x = 1,460,831,144.10
  5. Step 5: Solve for x
    x = 1,460,831,144.10/36,780
  6. Step 6: Final answer
    x = 39,718.08

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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.