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Finding the Fourth Proportional to 1,430, 2,145.64 and 936.24

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Solution

The fourth proportional to 1,430, 2,145.64 and 936.24 is: 1,404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430 : 2,145.64 = 936.24 : x
  2. Step 2: Convert to fraction form
    1,430/2,145.64 = 936.24/x
  3. Step 3: Cross multiply
    1,430x = 2,145.64 × 936.24
  4. Step 4: Simplify right side
    1,430x = 2,008,833.99
  5. Step 5: Solve for x
    x = 2,008,833.99/1,430
  6. Step 6: Final answer
    x = 1,404.78

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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.