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Finding the Fourth Proportional to 6,742.61, 9,304.88 and 3,871.79

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Solution

The fourth proportional to 6,742.61, 9,304.88 and 3,871.79 is: 5,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.61 : 9,304.88 = 3,871.79 : x
  2. Step 2: Convert to fraction form
    6,742.61/9,304.88 = 3,871.79/x
  3. Step 3: Cross multiply
    6,742.61x = 9,304.88 × 3,871.79
  4. Step 4: Simplify right side
    6,742.61x = 36,026,541.34
  5. Step 5: Solve for x
    x = 36,026,541.34/6,742.61
  6. Step 6: Final answer
    x = 5,343.12

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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.