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Finding the Fourth Proportional to 1,376.09, 1,898.63 and 816.09

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Solution

The fourth proportional to 1,376.09, 1,898.63 and 816.09 is: 1,125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.09 : 1,898.63 = 816.09 : x
  2. Step 2: Convert to fraction form
    1,376.09/1,898.63 = 816.09/x
  3. Step 3: Cross multiply
    1,376.09x = 1,898.63 × 816.09
  4. Step 4: Simplify right side
    1,376.09x = 1,549,448.88
  5. Step 5: Solve for x
    x = 1,549,448.88/1,376.09
  6. Step 6: Final answer
    x = 1,125.98

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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.