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Finding the Fourth Proportional to 43,038, 64,559.43 and 15,336

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Solution

The fourth proportional to 43,038, 64,559.43 and 15,336 is: 23,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,038 : 64,559.43 = 15,336 : x
  2. Step 2: Convert to fraction form
    43,038/64,559.43 = 15,336/x
  3. Step 3: Cross multiply
    43,038x = 64,559.43 × 15,336
  4. Step 4: Simplify right side
    43,038x = 990,083,418.48
  5. Step 5: Solve for x
    x = 990,083,418.48/43,038
  6. Step 6: Final answer
    x = 23,004.87

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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.