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Finding the Fourth Proportional to 1,334.02, 1,841.82 and 837.40

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Solution

The fourth proportional to 1,334.02, 1,841.82 and 837.40 is: 1,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.02 : 1,841.82 = 837.40 : x
  2. Step 2: Convert to fraction form
    1,334.02/1,841.82 = 837.40/x
  3. Step 3: Cross multiply
    1,334.02x = 1,841.82 × 837.40
  4. Step 4: Simplify right side
    1,334.02x = 1,542,340.07
  5. Step 5: Solve for x
    x = 1,542,340.07/1,334.02
  6. Step 6: Final answer
    x = 1,156.16

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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.