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Finding the Fourth Proportional to 5,152.97, 7,111.07 and 2,914.87

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Solution

The fourth proportional to 5,152.97, 7,111.07 and 2,914.87 is: 4,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.97 : 7,111.07 = 2,914.87 : x
  2. Step 2: Convert to fraction form
    5,152.97/7,111.07 = 2,914.87/x
  3. Step 3: Cross multiply
    5,152.97x = 7,111.07 × 2,914.87
  4. Step 4: Simplify right side
    5,152.97x = 20,727,809.06
  5. Step 5: Solve for x
    x = 20,727,809.06/5,152.97
  6. Step 6: Final answer
    x = 4,022.50

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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.