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Finding the Fourth Proportional to 1,951.86, 2,927.70 and 1,405.02

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Solution

The fourth proportional to 1,951.86, 2,927.70 and 1,405.02 is: 2,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.86 : 2,927.70 = 1,405.02 : x
  2. Step 2: Convert to fraction form
    1,951.86/2,927.70 = 1,405.02/x
  3. Step 3: Cross multiply
    1,951.86x = 2,927.70 × 1,405.02
  4. Step 4: Simplify right side
    1,951.86x = 4,113,477.05
  5. Step 5: Solve for x
    x = 4,113,477.05/1,951.86
  6. Step 6: Final answer
    x = 2,107.47

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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.