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Finding the Fourth Proportional to 1,999.42, 2,999.12 and 612.76

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Solution

The fourth proportional to 1,999.42, 2,999.12 and 612.76 is: 919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.42 : 2,999.12 = 612.76 : x
  2. Step 2: Convert to fraction form
    1,999.42/2,999.12 = 612.76/x
  3. Step 3: Cross multiply
    1,999.42x = 2,999.12 × 612.76
  4. Step 4: Simplify right side
    1,999.42x = 1,837,740.77
  5. Step 5: Solve for x
    x = 1,837,740.77/1,999.42
  6. Step 6: Final answer
    x = 919.14

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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.