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Finding the Fourth Proportional to 6,658.54, 9,189.87 and 3,970.10

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Solution

The fourth proportional to 6,658.54, 9,189.87 and 3,970.10 is: 5,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.54 : 9,189.87 = 3,970.10 : x
  2. Step 2: Convert to fraction form
    6,658.54/9,189.87 = 3,970.10/x
  3. Step 3: Cross multiply
    6,658.54x = 9,189.87 × 3,970.10
  4. Step 4: Simplify right side
    6,658.54x = 36,484,702.89
  5. Step 5: Solve for x
    x = 36,484,702.89/6,658.54
  6. Step 6: Final answer
    x = 5,479.38

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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.