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Finding the Fourth Proportional to 5,210.28, 7,820.91 and 5,092.74

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Solution

The fourth proportional to 5,210.28, 7,820.91 and 5,092.74 is: 7,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.28 : 7,820.91 = 5,092.74 : x
  2. Step 2: Convert to fraction form
    5,210.28/7,820.91 = 5,092.74/x
  3. Step 3: Cross multiply
    5,210.28x = 7,820.91 × 5,092.74
  4. Step 4: Simplify right side
    5,210.28x = 39,829,861.19
  5. Step 5: Solve for x
    x = 39,829,861.19/5,210.28
  6. Step 6: Final answer
    x = 7,644.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.