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Finding the Fourth Proportional to 7,779.66, 11,670.99 and 4,267.75

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Solution

The fourth proportional to 7,779.66, 11,670.99 and 4,267.75 is: 6,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.66 : 11,670.99 = 4,267.75 : x
  2. Step 2: Convert to fraction form
    7,779.66/11,670.99 = 4,267.75/x
  3. Step 3: Cross multiply
    7,779.66x = 11,670.99 × 4,267.75
  4. Step 4: Simplify right side
    7,779.66x = 49,808,867.57
  5. Step 5: Solve for x
    x = 49,808,867.57/7,779.66
  6. Step 6: Final answer
    x = 6,402.45

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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.