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Finding the Fourth Proportional to 20,989, 31,483.62 and 7,138.12

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Solution

The fourth proportional to 20,989, 31,483.62 and 7,138.12 is: 10,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,989 : 31,483.62 = 7,138.12 : x
  2. Step 2: Convert to fraction form
    20,989/31,483.62 = 7,138.12/x
  3. Step 3: Cross multiply
    20,989x = 31,483.62 × 7,138.12
  4. Step 4: Simplify right side
    20,989x = 224,733,857.59
  5. Step 5: Solve for x
    x = 224,733,857.59/20,989
  6. Step 6: Final answer
    x = 10,707.22

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Double scale
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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.