Home / 1,400.13-2,102.09-815.72

Finding the Fourth Proportional to 1,400.13, 2,102.09 and 815.72

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Solution

The fourth proportional to 1,400.13, 2,102.09 and 815.72 is: 1,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.13 : 2,102.09 = 815.72 : x
  2. Step 2: Convert to fraction form
    1,400.13/2,102.09 = 815.72/x
  3. Step 3: Cross multiply
    1,400.13x = 2,102.09 × 815.72
  4. Step 4: Simplify right side
    1,400.13x = 1,714,702.27
  5. Step 5: Solve for x
    x = 1,714,702.27/1,400.13
  6. Step 6: Final answer
    x = 1,224.67

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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.