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Finding the Fourth Proportional to 1,376.35, 1,899.36 and 817.10

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Solution

The fourth proportional to 1,376.35, 1,899.36 and 817.10 is: 1,127.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.35 : 1,899.36 = 817.10 : x
  2. Step 2: Convert to fraction form
    1,376.35/1,899.36 = 817.10/x
  3. Step 3: Cross multiply
    1,376.35x = 1,899.36 × 817.10
  4. Step 4: Simplify right side
    1,376.35x = 1,551,967.06
  5. Step 5: Solve for x
    x = 1,551,967.06/1,376.35
  6. Step 6: Final answer
    x = 1,127.60

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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.