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Finding the Fourth Proportional to 3,071.66, 4,605.12 and 1,427.00

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Solution

The fourth proportional to 3,071.66, 4,605.12 and 1,427.00 is: 2,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.66 : 4,605.12 = 1,427.00 : x
  2. Step 2: Convert to fraction form
    3,071.66/4,605.12 = 1,427.00/x
  3. Step 3: Cross multiply
    3,071.66x = 4,605.12 × 1,427.00
  4. Step 4: Simplify right side
    3,071.66x = 6,571,483.21
  5. Step 5: Solve for x
    x = 6,571,483.21/3,071.66
  6. Step 6: Final answer
    x = 2,139.39

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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.