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Finding the Fourth Proportional to 5,644.64, 7,778.64 and 4,069.76

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Solution

The fourth proportional to 5,644.64, 7,778.64 and 4,069.76 is: 5,608.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.64 : 7,778.64 = 4,069.76 : x
  2. Step 2: Convert to fraction form
    5,644.64/7,778.64 = 4,069.76/x
  3. Step 3: Cross multiply
    5,644.64x = 7,778.64 × 4,069.76
  4. Step 4: Simplify right side
    5,644.64x = 31,657,197.93
  5. Step 5: Solve for x
    x = 31,657,197.93/5,644.64
  6. Step 6: Final answer
    x = 5,608.36

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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.