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Finding the Fourth Proportional to 6,455.34, 9,683.10 and 2,072.88

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Solution

The fourth proportional to 6,455.34, 9,683.10 and 2,072.88 is: 3,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.34 : 9,683.10 = 2,072.88 : x
  2. Step 2: Convert to fraction form
    6,455.34/9,683.10 = 2,072.88/x
  3. Step 3: Cross multiply
    6,455.34x = 9,683.10 × 2,072.88
  4. Step 4: Simplify right side
    6,455.34x = 20,071,904.33
  5. Step 5: Solve for x
    x = 20,071,904.33/6,455.34
  6. Step 6: Final answer
    x = 3,109.35

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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.