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Finding the Fourth Proportional to 2,999.63, 4,498.54 and 1,538.60

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Solution

The fourth proportional to 2,999.63, 4,498.54 and 1,538.60 is: 2,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.63 : 4,498.54 = 1,538.60 : x
  2. Step 2: Convert to fraction form
    2,999.63/4,498.54 = 1,538.60/x
  3. Step 3: Cross multiply
    2,999.63x = 4,498.54 × 1,538.60
  4. Step 4: Simplify right side
    2,999.63x = 6,921,427.30
  5. Step 5: Solve for x
    x = 6,921,427.30/2,999.63
  6. Step 6: Final answer
    x = 2,307.43

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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.