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Finding the Fourth Proportional to 7,772.64, 11,665.80 and 4,077.51

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Solution

The fourth proportional to 7,772.64, 11,665.80 and 4,077.51 is: 6,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.64 : 11,665.80 = 4,077.51 : x
  2. Step 2: Convert to fraction form
    7,772.64/11,665.80 = 4,077.51/x
  3. Step 3: Cross multiply
    7,772.64x = 11,665.80 × 4,077.51
  4. Step 4: Simplify right side
    7,772.64x = 47,567,416.16
  5. Step 5: Solve for x
    x = 47,567,416.16/7,772.64
  6. Step 6: Final answer
    x = 6,119.85

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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.