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Finding the Fourth Proportional to 6,906.34, 9,534.54 and 5,142.16

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Solution

The fourth proportional to 6,906.34, 9,534.54 and 5,142.16 is: 7,099.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.34 : 9,534.54 = 5,142.16 : x
  2. Step 2: Convert to fraction form
    6,906.34/9,534.54 = 5,142.16/x
  3. Step 3: Cross multiply
    6,906.34x = 9,534.54 × 5,142.16
  4. Step 4: Simplify right side
    6,906.34x = 49,028,130.21
  5. Step 5: Solve for x
    x = 49,028,130.21/6,906.34
  6. Step 6: Final answer
    x = 7,099.00

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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.