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Finding the Fourth Proportional to 1,999.58, 2,981.75 and 1,861.07

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Solution

The fourth proportional to 1,999.58, 2,981.75 and 1,861.07 is: 2,775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.58 : 2,981.75 = 1,861.07 : x
  2. Step 2: Convert to fraction form
    1,999.58/2,981.75 = 1,861.07/x
  3. Step 3: Cross multiply
    1,999.58x = 2,981.75 × 1,861.07
  4. Step 4: Simplify right side
    1,999.58x = 5,549,245.47
  5. Step 5: Solve for x
    x = 5,549,245.47/1,999.58
  6. Step 6: Final answer
    x = 2,775.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.