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Finding the Fourth Proportional to 1,427.16, 1,969.48 and 837.70

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Solution

The fourth proportional to 1,427.16, 1,969.48 and 837.70 is: 1,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.16 : 1,969.48 = 837.70 : x
  2. Step 2: Convert to fraction form
    1,427.16/1,969.48 = 837.70/x
  3. Step 3: Cross multiply
    1,427.16x = 1,969.48 × 837.70
  4. Step 4: Simplify right side
    1,427.16x = 1,649,833.40
  5. Step 5: Solve for x
    x = 1,649,833.40/1,427.16
  6. Step 6: Final answer
    x = 1,156.03

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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.