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Finding the Fourth Proportional to 38,649, 57,973.50 and 9,465

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Solution

The fourth proportional to 38,649, 57,973.50 and 9,465 is: 14,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,649 : 57,973.50 = 9,465 : x
  2. Step 2: Convert to fraction form
    38,649/57,973.50 = 9,465/x
  3. Step 3: Cross multiply
    38,649x = 57,973.50 × 9,465
  4. Step 4: Simplify right side
    38,649x = 548,719,177.50
  5. Step 5: Solve for x
    x = 548,719,177.50/38,649
  6. Step 6: Final answer
    x = 14,197.50

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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.