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Finding the Fourth Proportional to 2,990.86, 4,126.62 and 1,811.50

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Solution

The fourth proportional to 2,990.86, 4,126.62 and 1,811.50 is: 2,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.86 : 4,126.62 = 1,811.50 : x
  2. Step 2: Convert to fraction form
    2,990.86/4,126.62 = 1,811.50/x
  3. Step 3: Cross multiply
    2,990.86x = 4,126.62 × 1,811.50
  4. Step 4: Simplify right side
    2,990.86x = 7,475,372.13
  5. Step 5: Solve for x
    x = 7,475,372.13/2,990.86
  6. Step 6: Final answer
    x = 2,499.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.