Home / 2,030.70-2,802.38-1,284.98

Finding the Fourth Proportional to 2,030.70, 2,802.38 and 1,284.98

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Solution

The fourth proportional to 2,030.70, 2,802.38 and 1,284.98 is: 1,773.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.70 : 2,802.38 = 1,284.98 : x
  2. Step 2: Convert to fraction form
    2,030.70/2,802.38 = 1,284.98/x
  3. Step 3: Cross multiply
    2,030.70x = 2,802.38 × 1,284.98
  4. Step 4: Simplify right side
    2,030.70x = 3,601,002.25
  5. Step 5: Solve for x
    x = 3,601,002.25/2,030.70
  6. Step 6: Final answer
    x = 1,773.28

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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.