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Finding the Fourth Proportional to 5,509.90, 7,603.60 and 2,992

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Solution

The fourth proportional to 5,509.90, 7,603.60 and 2,992 is: 4,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.90 : 7,603.60 = 2,992 : x
  2. Step 2: Convert to fraction form
    5,509.90/7,603.60 = 2,992/x
  3. Step 3: Cross multiply
    5,509.90x = 7,603.60 × 2,992
  4. Step 4: Simplify right side
    5,509.90x = 22,749,971.20
  5. Step 5: Solve for x
    x = 22,749,971.20/5,509.90
  6. Step 6: Final answer
    x = 4,128.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.