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Finding the Fourth Proportional to 1,400.47, 2,100.19 and 815.67

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Solution

The fourth proportional to 1,400.47, 2,100.19 and 815.67 is: 1,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.47 : 2,100.19 = 815.67 : x
  2. Step 2: Convert to fraction form
    1,400.47/2,100.19 = 815.67/x
  3. Step 3: Cross multiply
    1,400.47x = 2,100.19 × 815.67
  4. Step 4: Simplify right side
    1,400.47x = 1,713,059.94
  5. Step 5: Solve for x
    x = 1,713,059.94/1,400.47
  6. Step 6: Final answer
    x = 1,223.21

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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.