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Finding the Fourth Proportional to 1,907.40, 2,858.40 and 1,409.93

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Solution

The fourth proportional to 1,907.40, 2,858.40 and 1,409.93 is: 2,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.40 : 2,858.40 = 1,409.93 : x
  2. Step 2: Convert to fraction form
    1,907.40/2,858.40 = 1,409.93/x
  3. Step 3: Cross multiply
    1,907.40x = 2,858.40 × 1,409.93
  4. Step 4: Simplify right side
    1,907.40x = 4,030,143.91
  5. Step 5: Solve for x
    x = 4,030,143.91/1,907.40
  6. Step 6: Final answer
    x = 2,112.90

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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.