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Finding the Fourth Proportional to 6,454.75, 9,681.21 and 2,071.63

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Solution

The fourth proportional to 6,454.75, 9,681.21 and 2,071.63 is: 3,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.75 : 9,681.21 = 2,071.63 : x
  2. Step 2: Convert to fraction form
    6,454.75/9,681.21 = 2,071.63/x
  3. Step 3: Cross multiply
    6,454.75x = 9,681.21 × 2,071.63
  4. Step 4: Simplify right side
    6,454.75x = 20,055,885.07
  5. Step 5: Solve for x
    x = 20,055,885.07/6,454.75
  6. Step 6: Final answer
    x = 3,107.15

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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.