Home / 1,402.46-2,099.64-1,057.26

Finding the Fourth Proportional to 1,402.46, 2,099.64 and 1,057.26

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Solution

The fourth proportional to 1,402.46, 2,099.64 and 1,057.26 is: 1,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.46 : 2,099.64 = 1,057.26 : x
  2. Step 2: Convert to fraction form
    1,402.46/2,099.64 = 1,057.26/x
  3. Step 3: Cross multiply
    1,402.46x = 2,099.64 × 1,057.26
  4. Step 4: Simplify right side
    1,402.46x = 2,219,865.39
  5. Step 5: Solve for x
    x = 2,219,865.39/1,402.46
  6. Step 6: Final answer
    x = 1,582.84

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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.