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Finding the Fourth Proportional to 7,762.66, 11,644.53 and 2,572.18

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Solution

The fourth proportional to 7,762.66, 11,644.53 and 2,572.18 is: 3,858.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.66 : 11,644.53 = 2,572.18 : x
  2. Step 2: Convert to fraction form
    7,762.66/11,644.53 = 2,572.18/x
  3. Step 3: Cross multiply
    7,762.66x = 11,644.53 × 2,572.18
  4. Step 4: Simplify right side
    7,762.66x = 29,951,827.18
  5. Step 5: Solve for x
    x = 29,951,827.18/7,762.66
  6. Step 6: Final answer
    x = 3,858.45

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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.