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Finding the Fourth Proportional to 1,907.01, 2,856.80 and 1,405.77

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Solution

The fourth proportional to 1,907.01, 2,856.80 and 1,405.77 is: 2,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.01 : 2,856.80 = 1,405.77 : x
  2. Step 2: Convert to fraction form
    1,907.01/2,856.80 = 1,405.77/x
  3. Step 3: Cross multiply
    1,907.01x = 2,856.80 × 1,405.77
  4. Step 4: Simplify right side
    1,907.01x = 4,015,989.45
  5. Step 5: Solve for x
    x = 4,015,989.45/1,907.01
  6. Step 6: Final answer
    x = 2,105.91

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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.