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Finding the Fourth Proportional to 1,950.90, 2,693.43 and 1,509.81

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Solution

The fourth proportional to 1,950.90, 2,693.43 and 1,509.81 is: 2,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.90 : 2,693.43 = 1,509.81 : x
  2. Step 2: Convert to fraction form
    1,950.90/2,693.43 = 1,509.81/x
  3. Step 3: Cross multiply
    1,950.90x = 2,693.43 × 1,509.81
  4. Step 4: Simplify right side
    1,950.90x = 4,066,567.55
  5. Step 5: Solve for x
    x = 4,066,567.55/1,950.90
  6. Step 6: Final answer
    x = 2,084.46

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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.