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Finding the Fourth Proportional to 6,812.54, 9,397.47 and 4,290.32

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Solution

The fourth proportional to 6,812.54, 9,397.47 and 4,290.32 is: 5,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.54 : 9,397.47 = 4,290.32 : x
  2. Step 2: Convert to fraction form
    6,812.54/9,397.47 = 4,290.32/x
  3. Step 3: Cross multiply
    6,812.54x = 9,397.47 × 4,290.32
  4. Step 4: Simplify right side
    6,812.54x = 40,318,153.49
  5. Step 5: Solve for x
    x = 40,318,153.49/6,812.54
  6. Step 6: Final answer
    x = 5,918.23

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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.