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Finding the Fourth Proportional to 1,905.40, 2,855.40 and 1,407.93

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Solution

The fourth proportional to 1,905.40, 2,855.40 and 1,407.93 is: 2,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.40 : 2,855.40 = 1,407.93 : x
  2. Step 2: Convert to fraction form
    1,905.40/2,855.40 = 1,407.93/x
  3. Step 3: Cross multiply
    1,905.40x = 2,855.40 × 1,407.93
  4. Step 4: Simplify right side
    1,905.40x = 4,020,203.32
  5. Step 5: Solve for x
    x = 4,020,203.32/1,905.40
  6. Step 6: Final answer
    x = 2,109.90

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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.