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Finding the Fourth Proportional to 5,671.68, 7,827.84 and 4,739.84

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Solution

The fourth proportional to 5,671.68, 7,827.84 and 4,739.84 is: 6,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.68 : 7,827.84 = 4,739.84 : x
  2. Step 2: Convert to fraction form
    5,671.68/7,827.84 = 4,739.84/x
  3. Step 3: Cross multiply
    5,671.68x = 7,827.84 × 4,739.84
  4. Step 4: Simplify right side
    5,671.68x = 37,102,709.15
  5. Step 5: Solve for x
    x = 37,102,709.15/5,671.68
  6. Step 6: Final answer
    x = 6,541.75

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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.