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Finding the Fourth Proportional to 5,638.66, 7,776.60 and 4,225.66

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Solution

The fourth proportional to 5,638.66, 7,776.60 and 4,225.66 is: 5,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.66 : 7,776.60 = 4,225.66 : x
  2. Step 2: Convert to fraction form
    5,638.66/7,776.60 = 4,225.66/x
  3. Step 3: Cross multiply
    5,638.66x = 7,776.60 × 4,225.66
  4. Step 4: Simplify right side
    5,638.66x = 32,861,267.56
  5. Step 5: Solve for x
    x = 32,861,267.56/5,638.66
  6. Step 6: Final answer
    x = 5,827.85

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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.