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Finding the Fourth Proportional to 7,710.39, 11,559.92 and 3,813.89

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Solution

The fourth proportional to 7,710.39, 11,559.92 and 3,813.89 is: 5,718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.39 : 11,559.92 = 3,813.89 : x
  2. Step 2: Convert to fraction form
    7,710.39/11,559.92 = 3,813.89/x
  3. Step 3: Cross multiply
    7,710.39x = 11,559.92 × 3,813.89
  4. Step 4: Simplify right side
    7,710.39x = 44,088,186.42
  5. Step 5: Solve for x
    x = 44,088,186.42/7,710.39
  6. Step 6: Final answer
    x = 5,718.02

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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.