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Finding the Fourth Proportional to 5,047.76, 6,965.84 and 2,809.60

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Solution

The fourth proportional to 5,047.76, 6,965.84 and 2,809.60 is: 3,877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.76 : 6,965.84 = 2,809.60 : x
  2. Step 2: Convert to fraction form
    5,047.76/6,965.84 = 2,809.60/x
  3. Step 3: Cross multiply
    5,047.76x = 6,965.84 × 2,809.60
  4. Step 4: Simplify right side
    5,047.76x = 19,571,224.06
  5. Step 5: Solve for x
    x = 19,571,224.06/5,047.76
  6. Step 6: Final answer
    x = 3,877.21

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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.