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Finding the Fourth Proportional to 1,906.34, 2,858.90 and 607.50

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Solution

The fourth proportional to 1,906.34, 2,858.90 and 607.50 is: 911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.34 : 2,858.90 = 607.50 : x
  2. Step 2: Convert to fraction form
    1,906.34/2,858.90 = 607.50/x
  3. Step 3: Cross multiply
    1,906.34x = 2,858.90 × 607.50
  4. Step 4: Simplify right side
    1,906.34x = 1,736,778.71
  5. Step 5: Solve for x
    x = 1,736,778.71/1,906.34
  6. Step 6: Final answer
    x = 911.06

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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.