Home / 1,428.74-1,970.63-1,311.09

Finding the Fourth Proportional to 1,428.74, 1,970.63 and 1,311.09

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Solution

The fourth proportional to 1,428.74, 1,970.63 and 1,311.09 is: 1,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.74 : 1,970.63 = 1,311.09 : x
  2. Step 2: Convert to fraction form
    1,428.74/1,970.63 = 1,311.09/x
  3. Step 3: Cross multiply
    1,428.74x = 1,970.63 × 1,311.09
  4. Step 4: Simplify right side
    1,428.74x = 2,583,664.26
  5. Step 5: Solve for x
    x = 2,583,664.26/1,428.74
  6. Step 6: Final answer
    x = 1,808.35

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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.