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Finding the Fourth Proportional to 7,239, 10,858.50 and 2,045.01

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Solution

The fourth proportional to 7,239, 10,858.50 and 2,045.01 is: 3,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239 : 10,858.50 = 2,045.01 : x
  2. Step 2: Convert to fraction form
    7,239/10,858.50 = 2,045.01/x
  3. Step 3: Cross multiply
    7,239x = 10,858.50 × 2,045.01
  4. Step 4: Simplify right side
    7,239x = 22,205,741.09
  5. Step 5: Solve for x
    x = 22,205,741.09/7,239
  6. Step 6: Final answer
    x = 3,067.52

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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.