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Finding the Fourth Proportional to 3,670.90, 5,509.05 and 2,437.90

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Solution

The fourth proportional to 3,670.90, 5,509.05 and 2,437.90 is: 3,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.90 : 5,509.05 = 2,437.90 : x
  2. Step 2: Convert to fraction form
    3,670.90/5,509.05 = 2,437.90/x
  3. Step 3: Cross multiply
    3,670.90x = 5,509.05 × 2,437.90
  4. Step 4: Simplify right side
    3,670.90x = 13,430,513.00
  5. Step 5: Solve for x
    x = 13,430,513.00/3,670.90
  6. Step 6: Final answer
    x = 3,658.64

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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.