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Finding the Fourth Proportional to 43,039, 64,558.50 and 13,855

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Solution

The fourth proportional to 43,039, 64,558.50 and 13,855 is: 20,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,039 : 64,558.50 = 13,855 : x
  2. Step 2: Convert to fraction form
    43,039/64,558.50 = 13,855/x
  3. Step 3: Cross multiply
    43,039x = 64,558.50 × 13,855
  4. Step 4: Simplify right side
    43,039x = 894,458,017.50
  5. Step 5: Solve for x
    x = 894,458,017.50/43,039
  6. Step 6: Final answer
    x = 20,782.50

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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.