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Finding the Fourth Proportional to 5,638.40, 8,447.06 and 4,719.86

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Solution

The fourth proportional to 5,638.40, 8,447.06 and 4,719.86 is: 7,070.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.40 : 8,447.06 = 4,719.86 : x
  2. Step 2: Convert to fraction form
    5,638.40/8,447.06 = 4,719.86/x
  3. Step 3: Cross multiply
    5,638.40x = 8,447.06 × 4,719.86
  4. Step 4: Simplify right side
    5,638.40x = 39,868,940.61
  5. Step 5: Solve for x
    x = 39,868,940.61/5,638.40
  6. Step 6: Final answer
    x = 7,070.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.