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Finding the Fourth Proportional to 1,435.26, 1,989.05 and 1,409.34

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Solution

The fourth proportional to 1,435.26, 1,989.05 and 1,409.34 is: 1,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.26 : 1,989.05 = 1,409.34 : x
  2. Step 2: Convert to fraction form
    1,435.26/1,989.05 = 1,409.34/x
  3. Step 3: Cross multiply
    1,435.26x = 1,989.05 × 1,409.34
  4. Step 4: Simplify right side
    1,435.26x = 2,803,240.68
  5. Step 5: Solve for x
    x = 2,803,240.68/1,435.26
  6. Step 6: Final answer
    x = 1,953.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.