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Finding the Fourth Proportional to 3,071.63, 4,607.12 and 1,427.13

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Solution

The fourth proportional to 3,071.63, 4,607.12 and 1,427.13 is: 2,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.63 : 4,607.12 = 1,427.13 : x
  2. Step 2: Convert to fraction form
    3,071.63/4,607.12 = 1,427.13/x
  3. Step 3: Cross multiply
    3,071.63x = 4,607.12 × 1,427.13
  4. Step 4: Simplify right side
    3,071.63x = 6,574,952.03
  5. Step 5: Solve for x
    x = 6,574,952.03/3,071.63
  6. Step 6: Final answer
    x = 2,140.55

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1.5x scale

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.