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Finding the Fourth Proportional to 4,182, 6,271.24 and 1,407.99

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Solution

The fourth proportional to 4,182, 6,271.24 and 1,407.99 is: 2,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182 : 6,271.24 = 1,407.99 : x
  2. Step 2: Convert to fraction form
    4,182/6,271.24 = 1,407.99/x
  3. Step 3: Cross multiply
    4,182x = 6,271.24 × 1,407.99
  4. Step 4: Simplify right side
    4,182x = 8,829,843.21
  5. Step 5: Solve for x
    x = 8,829,843.21/4,182
  6. Step 6: Final answer
    x = 2,111.39

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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.