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Finding the Fourth Proportional to 5,409.64, 8,114.46 and 4,930.12

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Solution

The fourth proportional to 5,409.64, 8,114.46 and 4,930.12 is: 7,395.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.64 : 8,114.46 = 4,930.12 : x
  2. Step 2: Convert to fraction form
    5,409.64/8,114.46 = 4,930.12/x
  3. Step 3: Cross multiply
    5,409.64x = 8,114.46 × 4,930.12
  4. Step 4: Simplify right side
    5,409.64x = 40,005,261.54
  5. Step 5: Solve for x
    x = 40,005,261.54/5,409.64
  6. Step 6: Final answer
    x = 7,395.18

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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.