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Finding the Fourth Proportional to 1,900.88, 2,851.56 and 926.16

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Solution

The fourth proportional to 1,900.88, 2,851.56 and 926.16 is: 1,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.88 : 2,851.56 = 926.16 : x
  2. Step 2: Convert to fraction form
    1,900.88/2,851.56 = 926.16/x
  3. Step 3: Cross multiply
    1,900.88x = 2,851.56 × 926.16
  4. Step 4: Simplify right side
    1,900.88x = 2,641,000.81
  5. Step 5: Solve for x
    x = 2,641,000.81/1,900.88
  6. Step 6: Final answer
    x = 1,389.36

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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.