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Finding the Fourth Proportional to 21,683.70, 32,537.70 and 9,201.60

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Solution

The fourth proportional to 21,683.70, 32,537.70 and 9,201.60 is: 13,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683.70 : 32,537.70 = 9,201.60 : x
  2. Step 2: Convert to fraction form
    21,683.70/32,537.70 = 9,201.60/x
  3. Step 3: Cross multiply
    21,683.70x = 32,537.70 × 9,201.60
  4. Step 4: Simplify right side
    21,683.70x = 299,398,900.32
  5. Step 5: Solve for x
    x = 299,398,900.32/21,683.70
  6. Step 6: Final answer
    x = 13,807.56

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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.