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Finding the Fourth Proportional to 7,189.13, 10,783.69 and 1,995

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Solution

The fourth proportional to 7,189.13, 10,783.69 and 1,995 is: 2,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.13 : 10,783.69 = 1,995 : x
  2. Step 2: Convert to fraction form
    7,189.13/10,783.69 = 1,995/x
  3. Step 3: Cross multiply
    7,189.13x = 10,783.69 × 1,995
  4. Step 4: Simplify right side
    7,189.13x = 21,513,461.55
  5. Step 5: Solve for x
    x = 21,513,461.55/7,189.13
  6. Step 6: Final answer
    x = 2,992.50

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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.