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Finding the Fourth Proportional to 15,683.16, 21,644.48 and 8,969.41

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Solution

The fourth proportional to 15,683.16, 21,644.48 and 8,969.41 is: 12,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.16 : 21,644.48 = 8,969.41 : x
  2. Step 2: Convert to fraction form
    15,683.16/21,644.48 = 8,969.41/x
  3. Step 3: Cross multiply
    15,683.16x = 21,644.48 × 8,969.41
  4. Step 4: Simplify right side
    15,683.16x = 194,138,215.36
  5. Step 5: Solve for x
    x = 194,138,215.36/15,683.16
  6. Step 6: Final answer
    x = 12,378.77

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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.