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Finding the Fourth Proportional to 5,661.91, 7,820.92 and 4,720.78

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Solution

The fourth proportional to 5,661.91, 7,820.92 and 4,720.78 is: 6,520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.91 : 7,820.92 = 4,720.78 : x
  2. Step 2: Convert to fraction form
    5,661.91/7,820.92 = 4,720.78/x
  3. Step 3: Cross multiply
    5,661.91x = 7,820.92 × 4,720.78
  4. Step 4: Simplify right side
    5,661.91x = 36,920,842.72
  5. Step 5: Solve for x
    x = 36,920,842.72/5,661.91
  6. Step 6: Final answer
    x = 6,520.92

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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.