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Finding the Fourth Proportional to 1,405.84, 1,941.52 and 1,074.24

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Solution

The fourth proportional to 1,405.84, 1,941.52 and 1,074.24 is: 1,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.84 : 1,941.52 = 1,074.24 : x
  2. Step 2: Convert to fraction form
    1,405.84/1,941.52 = 1,074.24/x
  3. Step 3: Cross multiply
    1,405.84x = 1,941.52 × 1,074.24
  4. Step 4: Simplify right side
    1,405.84x = 2,085,658.44
  5. Step 5: Solve for x
    x = 2,085,658.44/1,405.84
  6. Step 6: Final answer
    x = 1,483.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.