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Finding the Fourth Proportional to 7,870.03, 11,805.04 and 2,603.63

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Solution

The fourth proportional to 7,870.03, 11,805.04 and 2,603.63 is: 3,905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.03 : 11,805.04 = 2,603.63 : x
  2. Step 2: Convert to fraction form
    7,870.03/11,805.04 = 2,603.63/x
  3. Step 3: Cross multiply
    7,870.03x = 11,805.04 × 2,603.63
  4. Step 4: Simplify right side
    7,870.03x = 30,735,922.66
  5. Step 5: Solve for x
    x = 30,735,922.66/7,870.03
  6. Step 6: Final answer
    x = 3,905.44

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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.