Home / 1,368.40-2,054.14-814.31

Finding the Fourth Proportional to 1,368.40, 2,054.14 and 814.31

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Solution

The fourth proportional to 1,368.40, 2,054.14 and 814.31 is: 1,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.40 : 2,054.14 = 814.31 : x
  2. Step 2: Convert to fraction form
    1,368.40/2,054.14 = 814.31/x
  3. Step 3: Cross multiply
    1,368.40x = 2,054.14 × 814.31
  4. Step 4: Simplify right side
    1,368.40x = 1,672,706.74
  5. Step 5: Solve for x
    x = 1,672,706.74/1,368.40
  6. Step 6: Final answer
    x = 1,222.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.