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Finding the Fourth Proportional to 2,312.08, 3,467.74 and 751.87

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Solution

The fourth proportional to 2,312.08, 3,467.74 and 751.87 is: 1,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.08 : 3,467.74 = 751.87 : x
  2. Step 2: Convert to fraction form
    2,312.08/3,467.74 = 751.87/x
  3. Step 3: Cross multiply
    2,312.08x = 3,467.74 × 751.87
  4. Step 4: Simplify right side
    2,312.08x = 2,607,289.67
  5. Step 5: Solve for x
    x = 2,607,289.67/2,312.08
  6. Step 6: Final answer
    x = 1,127.68

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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.