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Finding the Fourth Proportional to 6,809.40, 9,397.01 and 3,784.32

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Solution

The fourth proportional to 6,809.40, 9,397.01 and 3,784.32 is: 5,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.40 : 9,397.01 = 3,784.32 : x
  2. Step 2: Convert to fraction form
    6,809.40/9,397.01 = 3,784.32/x
  3. Step 3: Cross multiply
    6,809.40x = 9,397.01 × 3,784.32
  4. Step 4: Simplify right side
    6,809.40x = 35,561,302.34
  5. Step 5: Solve for x
    x = 35,561,302.34/6,809.40
  6. Step 6: Final answer
    x = 5,222.38

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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.