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Finding the Fourth Proportional to 1,889.16, 2,607 and 1,049.87

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Solution

The fourth proportional to 1,889.16, 2,607 and 1,049.87 is: 1,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.16 : 2,607 = 1,049.87 : x
  2. Step 2: Convert to fraction form
    1,889.16/2,607 = 1,049.87/x
  3. Step 3: Cross multiply
    1,889.16x = 2,607 × 1,049.87
  4. Step 4: Simplify right side
    1,889.16x = 2,736,998.06
  5. Step 5: Solve for x
    x = 2,736,998.06/1,889.16
  6. Step 6: Final answer
    x = 1,448.79

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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.