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Finding the Fourth Proportional to 3,000.86, 4,499.10 and 1,419.02

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Solution

The fourth proportional to 3,000.86, 4,499.10 and 1,419.02 is: 2,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.86 : 4,499.10 = 1,419.02 : x
  2. Step 2: Convert to fraction form
    3,000.86/4,499.10 = 1,419.02/x
  3. Step 3: Cross multiply
    3,000.86x = 4,499.10 × 1,419.02
  4. Step 4: Simplify right side
    3,000.86x = 6,384,283.29
  5. Step 5: Solve for x
    x = 6,384,283.29/3,000.86
  6. Step 6: Final answer
    x = 2,127.49

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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.