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Finding the Fourth Proportional to 3,480.50, 4,802.50 and 2,300.94

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Solution

The fourth proportional to 3,480.50, 4,802.50 and 2,300.94 is: 3,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.50 : 4,802.50 = 2,300.94 : x
  2. Step 2: Convert to fraction form
    3,480.50/4,802.50 = 2,300.94/x
  3. Step 3: Cross multiply
    3,480.50x = 4,802.50 × 2,300.94
  4. Step 4: Simplify right side
    3,480.50x = 11,050,264.35
  5. Step 5: Solve for x
    x = 11,050,264.35/3,480.50
  6. Step 6: Final answer
    x = 3,174.91

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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.