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Finding the Fourth Proportional to 43,807.47, 65,704.00 and 12,219.68

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Solution

The fourth proportional to 43,807.47, 65,704.00 and 12,219.68 is: 18,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,807.47 : 65,704.00 = 12,219.68 : x
  2. Step 2: Convert to fraction form
    43,807.47/65,704.00 = 12,219.68/x
  3. Step 3: Cross multiply
    43,807.47x = 65,704.00 × 12,219.68
  4. Step 4: Simplify right side
    43,807.47x = 802,881,465.10
  5. Step 5: Solve for x
    x = 802,881,465.10/43,807.47
  6. Step 6: Final answer
    x = 18,327.50

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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.