Home / 1,430.68-2,145.09-942.25

Finding the Fourth Proportional to 1,430.68, 2,145.09 and 942.25

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Solution

The fourth proportional to 1,430.68, 2,145.09 and 942.25 is: 1,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.68 : 2,145.09 = 942.25 : x
  2. Step 2: Convert to fraction form
    1,430.68/2,145.09 = 942.25/x
  3. Step 3: Cross multiply
    1,430.68x = 2,145.09 × 942.25
  4. Step 4: Simplify right side
    1,430.68x = 2,021,211.05
  5. Step 5: Solve for x
    x = 2,021,211.05/1,430.68
  6. Step 6: Final answer
    x = 1,412.76

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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.