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Finding the Fourth Proportional to 5,210.74, 7,190.72 and 2,972.74

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Solution

The fourth proportional to 5,210.74, 7,190.72 and 2,972.74 is: 4,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.74 : 7,190.72 = 2,972.74 : x
  2. Step 2: Convert to fraction form
    5,210.74/7,190.72 = 2,972.74/x
  3. Step 3: Cross multiply
    5,210.74x = 7,190.72 × 2,972.74
  4. Step 4: Simplify right side
    5,210.74x = 21,376,140.97
  5. Step 5: Solve for x
    x = 21,376,140.97/5,210.74
  6. Step 6: Final answer
    x = 4,102.32

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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.