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Finding the Fourth Proportional to 7,683.76, 10,574.45 and 6,977.09

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Solution

The fourth proportional to 7,683.76, 10,574.45 and 6,977.09 is: 9,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.76 : 10,574.45 = 6,977.09 : x
  2. Step 2: Convert to fraction form
    7,683.76/10,574.45 = 6,977.09/x
  3. Step 3: Cross multiply
    7,683.76x = 10,574.45 × 6,977.09
  4. Step 4: Simplify right side
    7,683.76x = 73,778,847.58
  5. Step 5: Solve for x
    x = 73,778,847.58/7,683.76
  6. Step 6: Final answer
    x = 9,601.92

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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.