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Finding the Fourth Proportional to 9,345, 14,017.86 and 3,189

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Solution

The fourth proportional to 9,345, 14,017.86 and 3,189 is: 4,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345 : 14,017.86 = 3,189 : x
  2. Step 2: Convert to fraction form
    9,345/14,017.86 = 3,189/x
  3. Step 3: Cross multiply
    9,345x = 14,017.86 × 3,189
  4. Step 4: Simplify right side
    9,345x = 44,702,955.54
  5. Step 5: Solve for x
    x = 44,702,955.54/9,345
  6. Step 6: Final answer
    x = 4,783.62

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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.