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Finding the Fourth Proportional to 19,269, 28,903.50 and 4,677

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Solution

The fourth proportional to 19,269, 28,903.50 and 4,677 is: 7,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,269 : 28,903.50 = 4,677 : x
  2. Step 2: Convert to fraction form
    19,269/28,903.50 = 4,677/x
  3. Step 3: Cross multiply
    19,269x = 28,903.50 × 4,677
  4. Step 4: Simplify right side
    19,269x = 135,181,669.50
  5. Step 5: Solve for x
    x = 135,181,669.50/19,269
  6. Step 6: Final answer
    x = 7,015.50

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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.