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Finding the Fourth Proportional to 7,129.64, 10,684.13 and 4,906.19

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Solution

The fourth proportional to 7,129.64, 10,684.13 and 4,906.19 is: 7,352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.64 : 10,684.13 = 4,906.19 : x
  2. Step 2: Convert to fraction form
    7,129.64/10,684.13 = 4,906.19/x
  3. Step 3: Cross multiply
    7,129.64x = 10,684.13 × 4,906.19
  4. Step 4: Simplify right side
    7,129.64x = 52,418,293.81
  5. Step 5: Solve for x
    x = 52,418,293.81/7,129.64
  6. Step 6: Final answer
    x = 7,352.17

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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.