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Finding the Fourth Proportional to 1,416.30, 1,954.50 and 786.85

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Solution

The fourth proportional to 1,416.30, 1,954.50 and 786.85 is: 1,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.30 : 1,954.50 = 786.85 : x
  2. Step 2: Convert to fraction form
    1,416.30/1,954.50 = 786.85/x
  3. Step 3: Cross multiply
    1,416.30x = 1,954.50 × 786.85
  4. Step 4: Simplify right side
    1,416.30x = 1,537,898.33
  5. Step 5: Solve for x
    x = 1,537,898.33/1,416.30
  6. Step 6: Final answer
    x = 1,085.86

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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.