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Finding the Fourth Proportional to 5,847.78, 8,696.46 and 5,663.21

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Solution

The fourth proportional to 5,847.78, 8,696.46 and 5,663.21 is: 8,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.78 : 8,696.46 = 5,663.21 : x
  2. Step 2: Convert to fraction form
    5,847.78/8,696.46 = 5,663.21/x
  3. Step 3: Cross multiply
    5,847.78x = 8,696.46 × 5,663.21
  4. Step 4: Simplify right side
    5,847.78x = 49,249,835.75
  5. Step 5: Solve for x
    x = 49,249,835.75/5,847.78
  6. Step 6: Final answer
    x = 8,421.97

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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.