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Finding the Fourth Proportional to 11,712, 17,570.43 and 4,786.50

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Solution

The fourth proportional to 11,712, 17,570.43 and 4,786.50 is: 7,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712 : 17,570.43 = 4,786.50 : x
  2. Step 2: Convert to fraction form
    11,712/17,570.43 = 4,786.50/x
  3. Step 3: Cross multiply
    11,712x = 17,570.43 × 4,786.50
  4. Step 4: Simplify right side
    11,712x = 84,100,863.20
  5. Step 5: Solve for x
    x = 84,100,863.20/11,712
  6. Step 6: Final answer
    x = 7,180.74

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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.