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Finding the Fourth Proportional to 4,271.20, 6,407.20 and 1,805.98

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Solution

The fourth proportional to 4,271.20, 6,407.20 and 1,805.98 is: 2,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.20 : 6,407.20 = 1,805.98 : x
  2. Step 2: Convert to fraction form
    4,271.20/6,407.20 = 1,805.98/x
  3. Step 3: Cross multiply
    4,271.20x = 6,407.20 × 1,805.98
  4. Step 4: Simplify right side
    4,271.20x = 11,571,275.06
  5. Step 5: Solve for x
    x = 11,571,275.06/4,271.20
  6. Step 6: Final answer
    x = 2,709.14

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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.