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Finding the Fourth Proportional to 37,309, 55,963.50 and 12,685

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Solution

The fourth proportional to 37,309, 55,963.50 and 12,685 is: 19,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,309 : 55,963.50 = 12,685 : x
  2. Step 2: Convert to fraction form
    37,309/55,963.50 = 12,685/x
  3. Step 3: Cross multiply
    37,309x = 55,963.50 × 12,685
  4. Step 4: Simplify right side
    37,309x = 709,896,997.50
  5. Step 5: Solve for x
    x = 709,896,997.50/37,309
  6. Step 6: Final answer
    x = 19,027.50

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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.