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Finding the Fourth Proportional to 10,209, 14,089.50 and 6,483

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Solution

The fourth proportional to 10,209, 14,089.50 and 6,483 is: 8,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209 : 14,089.50 = 6,483 : x
  2. Step 2: Convert to fraction form
    10,209/14,089.50 = 6,483/x
  3. Step 3: Cross multiply
    10,209x = 14,089.50 × 6,483
  4. Step 4: Simplify right side
    10,209x = 91,342,228.50
  5. Step 5: Solve for x
    x = 91,342,228.50/10,209
  6. Step 6: Final answer
    x = 8,947.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.