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Finding the Fourth Proportional to 1,552.36, 2,141.58 and 931

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Solution

The fourth proportional to 1,552.36, 2,141.58 and 931 is: 1,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.36 : 2,141.58 = 931 : x
  2. Step 2: Convert to fraction form
    1,552.36/2,141.58 = 931/x
  3. Step 3: Cross multiply
    1,552.36x = 2,141.58 × 931
  4. Step 4: Simplify right side
    1,552.36x = 1,993,810.98
  5. Step 5: Solve for x
    x = 1,993,810.98/1,552.36
  6. Step 6: Final answer
    x = 1,284.37

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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.