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Finding the Fourth Proportional to 10,185, 15,280.20 and 3,259.50

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Solution

The fourth proportional to 10,185, 15,280.20 and 3,259.50 is: 4,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185 : 15,280.20 = 3,259.50 : x
  2. Step 2: Convert to fraction form
    10,185/15,280.20 = 3,259.50/x
  3. Step 3: Cross multiply
    10,185x = 15,280.20 × 3,259.50
  4. Step 4: Simplify right side
    10,185x = 49,805,811.90
  5. Step 5: Solve for x
    x = 49,805,811.90/10,185
  6. Step 6: Final answer
    x = 4,890.11

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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.