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Finding the Fourth Proportional to 43,812, 65,718.36 and 12,647.52

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Solution

The fourth proportional to 43,812, 65,718.36 and 12,647.52 is: 18,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,812 : 65,718.36 = 12,647.52 : x
  2. Step 2: Convert to fraction form
    43,812/65,718.36 = 12,647.52/x
  3. Step 3: Cross multiply
    43,812x = 65,718.36 × 12,647.52
  4. Step 4: Simplify right side
    43,812x = 831,174,272.47
  5. Step 5: Solve for x
    x = 831,174,272.47/43,812
  6. Step 6: Final answer
    x = 18,971.38

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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.