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Finding the Fourth Proportional to 5,664.24, 8,438.94 and 5,385.41

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Solution

The fourth proportional to 5,664.24, 8,438.94 and 5,385.41 is: 8,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.24 : 8,438.94 = 5,385.41 : x
  2. Step 2: Convert to fraction form
    5,664.24/8,438.94 = 5,385.41/x
  3. Step 3: Cross multiply
    5,664.24x = 8,438.94 × 5,385.41
  4. Step 4: Simplify right side
    5,664.24x = 45,447,151.87
  5. Step 5: Solve for x
    x = 45,447,151.87/5,664.24
  6. Step 6: Final answer
    x = 8,023.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.