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Finding the Fourth Proportional to 6,140.56, 9,230.28 and 5,285.20

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Solution

The fourth proportional to 6,140.56, 9,230.28 and 5,285.20 is: 7,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.56 : 9,230.28 = 5,285.20 : x
  2. Step 2: Convert to fraction form
    6,140.56/9,230.28 = 5,285.20/x
  3. Step 3: Cross multiply
    6,140.56x = 9,230.28 × 5,285.20
  4. Step 4: Simplify right side
    6,140.56x = 48,783,875.86
  5. Step 5: Solve for x
    x = 48,783,875.86/6,140.56
  6. Step 6: Final answer
    x = 7,944.53

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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.