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Finding the Fourth Proportional to 5,657.21, 7,813.76 and 4,947.24

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Solution

The fourth proportional to 5,657.21, 7,813.76 and 4,947.24 is: 6,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.21 : 7,813.76 = 4,947.24 : x
  2. Step 2: Convert to fraction form
    5,657.21/7,813.76 = 4,947.24/x
  3. Step 3: Cross multiply
    5,657.21x = 7,813.76 × 4,947.24
  4. Step 4: Simplify right side
    5,657.21x = 38,656,546.02
  5. Step 5: Solve for x
    x = 38,656,546.02/5,657.21
  6. Step 6: Final answer
    x = 6,833.15

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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.