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Finding the Fourth Proportional to 1,347, 1,858.93 and 823.07

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Solution

The fourth proportional to 1,347, 1,858.93 and 823.07 is: 1,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347 : 1,858.93 = 823.07 : x
  2. Step 2: Convert to fraction form
    1,347/1,858.93 = 823.07/x
  3. Step 3: Cross multiply
    1,347x = 1,858.93 × 823.07
  4. Step 4: Simplify right side
    1,347x = 1,530,018.16
  5. Step 5: Solve for x
    x = 1,530,018.16/1,347
  6. Step 6: Final answer
    x = 1,135.87

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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.