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Finding the Fourth Proportional to 2,509.57, 3,762.99 and 1,992.89

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Solution

The fourth proportional to 2,509.57, 3,762.99 and 1,992.89 is: 2,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.57 : 3,762.99 = 1,992.89 : x
  2. Step 2: Convert to fraction form
    2,509.57/3,762.99 = 1,992.89/x
  3. Step 3: Cross multiply
    2,509.57x = 3,762.99 × 1,992.89
  4. Step 4: Simplify right side
    2,509.57x = 7,499,225.14
  5. Step 5: Solve for x
    x = 7,499,225.14/2,509.57
  6. Step 6: Final answer
    x = 2,988.25

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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.