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Finding the Fourth Proportional to 2,999.99, 4,498.16 and 1,538.34

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Solution

The fourth proportional to 2,999.99, 4,498.16 and 1,538.34 is: 2,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.99 : 4,498.16 = 1,538.34 : x
  2. Step 2: Convert to fraction form
    2,999.99/4,498.16 = 1,538.34/x
  3. Step 3: Cross multiply
    2,999.99x = 4,498.16 × 1,538.34
  4. Step 4: Simplify right side
    2,999.99x = 6,919,704.52
  5. Step 5: Solve for x
    x = 6,919,704.52/2,999.99
  6. Step 6: Final answer
    x = 2,306.58

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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.