Home / 1,416.38-2,124.64-491.94

Finding the Fourth Proportional to 1,416.38, 2,124.64 and 491.94

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Solution

The fourth proportional to 1,416.38, 2,124.64 and 491.94 is: 737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.38 : 2,124.64 = 491.94 : x
  2. Step 2: Convert to fraction form
    1,416.38/2,124.64 = 491.94/x
  3. Step 3: Cross multiply
    1,416.38x = 2,124.64 × 491.94
  4. Step 4: Simplify right side
    1,416.38x = 1,045,195.40
  5. Step 5: Solve for x
    x = 1,045,195.40/1,416.38
  6. Step 6: Final answer
    x = 737.93

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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.