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Finding the Fourth Proportional to 5,601.70, 8,390.40 and 4,986.10

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Solution

The fourth proportional to 5,601.70, 8,390.40 and 4,986.10 is: 7,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.70 : 8,390.40 = 4,986.10 : x
  2. Step 2: Convert to fraction form
    5,601.70/8,390.40 = 4,986.10/x
  3. Step 3: Cross multiply
    5,601.70x = 8,390.40 × 4,986.10
  4. Step 4: Simplify right side
    5,601.70x = 41,835,373.44
  5. Step 5: Solve for x
    x = 41,835,373.44/5,601.70
  6. Step 6: Final answer
    x = 7,468.34

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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.