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Finding the Fourth Proportional to 37,007, 51,069.66 and 20,240

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Solution

The fourth proportional to 37,007, 51,069.66 and 20,240 is: 27,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,007 : 51,069.66 = 20,240 : x
  2. Step 2: Convert to fraction form
    37,007/51,069.66 = 20,240/x
  3. Step 3: Cross multiply
    37,007x = 51,069.66 × 20,240
  4. Step 4: Simplify right side
    37,007x = 1,033,649,918.40
  5. Step 5: Solve for x
    x = 1,033,649,918.40/37,007
  6. Step 6: Final answer
    x = 27,931.20

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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.