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Finding the Fourth Proportional to 1,407, 1,941.78 and 786.12

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Solution

The fourth proportional to 1,407, 1,941.78 and 786.12 is: 1,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407 : 1,941.78 = 786.12 : x
  2. Step 2: Convert to fraction form
    1,407/1,941.78 = 786.12/x
  3. Step 3: Cross multiply
    1,407x = 1,941.78 × 786.12
  4. Step 4: Simplify right side
    1,407x = 1,526,472.09
  5. Step 5: Solve for x
    x = 1,526,472.09/1,407
  6. Step 6: Final answer
    x = 1,084.91

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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.