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Finding the Fourth Proportional to 12,637.50, 18,963.63 and 5,712

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Solution

The fourth proportional to 12,637.50, 18,963.63 and 5,712 is: 8,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,637.50 : 18,963.63 = 5,712 : x
  2. Step 2: Convert to fraction form
    12,637.50/18,963.63 = 5,712/x
  3. Step 3: Cross multiply
    12,637.50x = 18,963.63 × 5,712
  4. Step 4: Simplify right side
    12,637.50x = 108,320,254.56
  5. Step 5: Solve for x
    x = 108,320,254.56/12,637.50
  6. Step 6: Final answer
    x = 8,571.34

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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.