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Finding the Fourth Proportional to 2,999.80, 4,500.15 and 1,538.47

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Solution

The fourth proportional to 2,999.80, 4,500.15 and 1,538.47 is: 2,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.80 : 4,500.15 = 1,538.47 : x
  2. Step 2: Convert to fraction form
    2,999.80/4,500.15 = 1,538.47/x
  3. Step 3: Cross multiply
    2,999.80x = 4,500.15 × 1,538.47
  4. Step 4: Simplify right side
    2,999.80x = 6,923,345.77
  5. Step 5: Solve for x
    x = 6,923,345.77/2,999.80
  6. Step 6: Final answer
    x = 2,307.94

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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.