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Finding the Fourth Proportional to 7,713.59, 11,567.98 and 2,782.58

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Solution

The fourth proportional to 7,713.59, 11,567.98 and 2,782.58 is: 4,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.59 : 11,567.98 = 2,782.58 : x
  2. Step 2: Convert to fraction form
    7,713.59/11,567.98 = 2,782.58/x
  3. Step 3: Cross multiply
    7,713.59x = 11,567.98 × 2,782.58
  4. Step 4: Simplify right side
    7,713.59x = 32,188,848.32
  5. Step 5: Solve for x
    x = 32,188,848.32/7,713.59
  6. Step 6: Final answer
    x = 4,173.01

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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.