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Finding the Fourth Proportional to 7,712, 11,571.52 and 3,761.08

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Solution

The fourth proportional to 7,712, 11,571.52 and 3,761.08 is: 5,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712 : 11,571.52 = 3,761.08 : x
  2. Step 2: Convert to fraction form
    7,712/11,571.52 = 3,761.08/x
  3. Step 3: Cross multiply
    7,712x = 11,571.52 × 3,761.08
  4. Step 4: Simplify right side
    7,712x = 43,521,412.44
  5. Step 5: Solve for x
    x = 43,521,412.44/7,712
  6. Step 6: Final answer
    x = 5,643.34

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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.