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Finding the Fourth Proportional to 7,642.63, 11,460.16 and 2,711.53

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Solution

The fourth proportional to 7,642.63, 11,460.16 and 2,711.53 is: 4,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.63 : 11,460.16 = 2,711.53 : x
  2. Step 2: Convert to fraction form
    7,642.63/11,460.16 = 2,711.53/x
  3. Step 3: Cross multiply
    7,642.63x = 11,460.16 × 2,711.53
  4. Step 4: Simplify right side
    7,642.63x = 31,074,567.64
  5. Step 5: Solve for x
    x = 31,074,567.64/7,642.63
  6. Step 6: Final answer
    x = 4,065.95

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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.