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Finding the Fourth Proportional to 2,040.86, 3,061.80 and 999.45

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Solution

The fourth proportional to 2,040.86, 3,061.80 and 999.45 is: 1,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.86 : 3,061.80 = 999.45 : x
  2. Step 2: Convert to fraction form
    2,040.86/3,061.80 = 999.45/x
  3. Step 3: Cross multiply
    2,040.86x = 3,061.80 × 999.45
  4. Step 4: Simplify right side
    2,040.86x = 3,060,116.01
  5. Step 5: Solve for x
    x = 3,060,116.01/2,040.86
  6. Step 6: Final answer
    x = 1,499.43

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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.