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Finding the Fourth Proportional to 1,924.76, 2,887.14 and 1,405.01

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Solution

The fourth proportional to 1,924.76, 2,887.14 and 1,405.01 is: 2,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.76 : 2,887.14 = 1,405.01 : x
  2. Step 2: Convert to fraction form
    1,924.76/2,887.14 = 1,405.01/x
  3. Step 3: Cross multiply
    1,924.76x = 2,887.14 × 1,405.01
  4. Step 4: Simplify right side
    1,924.76x = 4,056,460.57
  5. Step 5: Solve for x
    x = 4,056,460.57/1,924.76
  6. Step 6: Final answer
    x = 2,107.52

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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.