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Finding the Fourth Proportional to 6,681.72, 10,019.43 and 1,999.92

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Solution

The fourth proportional to 6,681.72, 10,019.43 and 1,999.92 is: 2,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.72 : 10,019.43 = 1,999.92 : x
  2. Step 2: Convert to fraction form
    6,681.72/10,019.43 = 1,999.92/x
  3. Step 3: Cross multiply
    6,681.72x = 10,019.43 × 1,999.92
  4. Step 4: Simplify right side
    6,681.72x = 20,038,058.45
  5. Step 5: Solve for x
    x = 20,038,058.45/6,681.72
  6. Step 6: Final answer
    x = 2,998.94

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1.5x scale

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.