Home / 1,430.46-1,974.99-1,098.30

Finding the Fourth Proportional to 1,430.46, 1,974.99 and 1,098.30

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Solution

The fourth proportional to 1,430.46, 1,974.99 and 1,098.30 is: 1,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.46 : 1,974.99 = 1,098.30 : x
  2. Step 2: Convert to fraction form
    1,430.46/1,974.99 = 1,098.30/x
  3. Step 3: Cross multiply
    1,430.46x = 1,974.99 × 1,098.30
  4. Step 4: Simplify right side
    1,430.46x = 2,169,121.64
  5. Step 5: Solve for x
    x = 2,169,121.64/1,430.46
  6. Step 6: Final answer
    x = 1,516.38

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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.