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Finding the Fourth Proportional to 7,771, 11,656.58 and 4,315.52

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Solution

The fourth proportional to 7,771, 11,656.58 and 4,315.52 is: 6,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771 : 11,656.58 = 4,315.52 : x
  2. Step 2: Convert to fraction form
    7,771/11,656.58 = 4,315.52/x
  3. Step 3: Cross multiply
    7,771x = 11,656.58 × 4,315.52
  4. Step 4: Simplify right side
    7,771x = 50,304,204.12
  5. Step 5: Solve for x
    x = 50,304,204.12/7,771
  6. Step 6: Final answer
    x = 6,473.32

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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.