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Finding the Fourth Proportional to 2,612.35, 3,920.05 and 970.03

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Solution

The fourth proportional to 2,612.35, 3,920.05 and 970.03 is: 1,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.35 : 3,920.05 = 970.03 : x
  2. Step 2: Convert to fraction form
    2,612.35/3,920.05 = 970.03/x
  3. Step 3: Cross multiply
    2,612.35x = 3,920.05 × 970.03
  4. Step 4: Simplify right side
    2,612.35x = 3,802,544.08
  5. Step 5: Solve for x
    x = 3,802,544.08/2,612.35
  6. Step 6: Final answer
    x = 1,455.61

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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.