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Finding the Fourth Proportional to 1,905.68, 2,840.50 and 1,842.50

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Solution

The fourth proportional to 1,905.68, 2,840.50 and 1,842.50 is: 2,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.68 : 2,840.50 = 1,842.50 : x
  2. Step 2: Convert to fraction form
    1,905.68/2,840.50 = 1,842.50/x
  3. Step 3: Cross multiply
    1,905.68x = 2,840.50 × 1,842.50
  4. Step 4: Simplify right side
    1,905.68x = 5,233,621.25
  5. Step 5: Solve for x
    x = 5,233,621.25/1,905.68
  6. Step 6: Final answer
    x = 2,746.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.