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Finding the Fourth Proportional to 4,642.56, 6,964.11 and 1,681.65

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Solution

The fourth proportional to 4,642.56, 6,964.11 and 1,681.65 is: 2,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.56 : 6,964.11 = 1,681.65 : x
  2. Step 2: Convert to fraction form
    4,642.56/6,964.11 = 1,681.65/x
  3. Step 3: Cross multiply
    4,642.56x = 6,964.11 × 1,681.65
  4. Step 4: Simplify right side
    4,642.56x = 11,711,195.58
  5. Step 5: Solve for x
    x = 11,711,195.58/4,642.56
  6. Step 6: Final answer
    x = 2,522.57

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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.