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Finding the Fourth Proportional to 18,955, 28,432.50 and 6,643

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Solution

The fourth proportional to 18,955, 28,432.50 and 6,643 is: 9,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,955 : 28,432.50 = 6,643 : x
  2. Step 2: Convert to fraction form
    18,955/28,432.50 = 6,643/x
  3. Step 3: Cross multiply
    18,955x = 28,432.50 × 6,643
  4. Step 4: Simplify right side
    18,955x = 188,877,097.50
  5. Step 5: Solve for x
    x = 188,877,097.50/18,955
  6. Step 6: Final answer
    x = 9,964.50

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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.