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Finding the Fourth Proportional to 43,021, 64,533.93 and 15,319

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Solution

The fourth proportional to 43,021, 64,533.93 and 15,319 is: 22,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,021 : 64,533.93 = 15,319 : x
  2. Step 2: Convert to fraction form
    43,021/64,533.93 = 15,319/x
  3. Step 3: Cross multiply
    43,021x = 64,533.93 × 15,319
  4. Step 4: Simplify right side
    43,021x = 988,595,273.67
  5. Step 5: Solve for x
    x = 988,595,273.67/43,021
  6. Step 6: Final answer
    x = 22,979.37

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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.