Home / 1,427.29-1,969.62-837.70

Finding the Fourth Proportional to 1,427.29, 1,969.62 and 837.70

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Solution

The fourth proportional to 1,427.29, 1,969.62 and 837.70 is: 1,156.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.29 : 1,969.62 = 837.70 : x
  2. Step 2: Convert to fraction form
    1,427.29/1,969.62 = 837.70/x
  3. Step 3: Cross multiply
    1,427.29x = 1,969.62 × 837.70
  4. Step 4: Simplify right side
    1,427.29x = 1,649,950.67
  5. Step 5: Solve for x
    x = 1,649,950.67/1,427.29
  6. Step 6: Final answer
    x = 1,156.00

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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.