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Finding the Fourth Proportional to 7,014.71, 9,680.15 and 3,827.90

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Solution

The fourth proportional to 7,014.71, 9,680.15 and 3,827.90 is: 5,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.71 : 9,680.15 = 3,827.90 : x
  2. Step 2: Convert to fraction form
    7,014.71/9,680.15 = 3,827.90/x
  3. Step 3: Cross multiply
    7,014.71x = 9,680.15 × 3,827.90
  4. Step 4: Simplify right side
    7,014.71x = 37,054,578.64
  5. Step 5: Solve for x
    x = 37,054,578.64/7,014.71
  6. Step 6: Final answer
    x = 5,282.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.