Home / 1,477.26-2,038.57-814.02

Finding the Fourth Proportional to 1,477.26, 2,038.57 and 814.02

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Solution

The fourth proportional to 1,477.26, 2,038.57 and 814.02 is: 1,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.26 : 2,038.57 = 814.02 : x
  2. Step 2: Convert to fraction form
    1,477.26/2,038.57 = 814.02/x
  3. Step 3: Cross multiply
    1,477.26x = 2,038.57 × 814.02
  4. Step 4: Simplify right side
    1,477.26x = 1,659,436.75
  5. Step 5: Solve for x
    x = 1,659,436.75/1,477.26
  6. Step 6: Final answer
    x = 1,123.32

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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.