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Finding the Fourth Proportional to 6,141.30, 9,187.65 and 5,328.60

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Solution

The fourth proportional to 6,141.30, 9,187.65 and 5,328.60 is: 7,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.30 : 9,187.65 = 5,328.60 : x
  2. Step 2: Convert to fraction form
    6,141.30/9,187.65 = 5,328.60/x
  3. Step 3: Cross multiply
    6,141.30x = 9,187.65 × 5,328.60
  4. Step 4: Simplify right side
    6,141.30x = 48,957,311.79
  5. Step 5: Solve for x
    x = 48,957,311.79/6,141.30
  6. Step 6: Final answer
    x = 7,971.82

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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.