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Finding the Fourth Proportional to 37,051, 51,130.38 and 20,284

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Solution

The fourth proportional to 37,051, 51,130.38 and 20,284 is: 27,991.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,051 : 51,130.38 = 20,284 : x
  2. Step 2: Convert to fraction form
    37,051/51,130.38 = 20,284/x
  3. Step 3: Cross multiply
    37,051x = 51,130.38 × 20,284
  4. Step 4: Simplify right side
    37,051x = 1,037,128,627.92
  5. Step 5: Solve for x
    x = 1,037,128,627.92/37,051
  6. Step 6: Final answer
    x = 27,991.92

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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.