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Finding the Fourth Proportional to 1,840.50, 2,762.34 and 975.42

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Solution

The fourth proportional to 1,840.50, 2,762.34 and 975.42 is: 1,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.50 : 2,762.34 = 975.42 : x
  2. Step 2: Convert to fraction form
    1,840.50/2,762.34 = 975.42/x
  3. Step 3: Cross multiply
    1,840.50x = 2,762.34 × 975.42
  4. Step 4: Simplify right side
    1,840.50x = 2,694,441.68
  5. Step 5: Solve for x
    x = 2,694,441.68/1,840.50
  6. Step 6: Final answer
    x = 1,463.97

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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.