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Finding the Fourth Proportional to 38,643, 57,964.50 and 9,459

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Solution

The fourth proportional to 38,643, 57,964.50 and 9,459 is: 14,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643 : 57,964.50 = 9,459 : x
  2. Step 2: Convert to fraction form
    38,643/57,964.50 = 9,459/x
  3. Step 3: Cross multiply
    38,643x = 57,964.50 × 9,459
  4. Step 4: Simplify right side
    38,643x = 548,286,205.50
  5. Step 5: Solve for x
    x = 548,286,205.50/38,643
  6. Step 6: Final answer
    x = 14,188.50

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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.