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Finding the Fourth Proportional to 35,422, 48,878.10 and 20,313.88

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Solution

The fourth proportional to 35,422, 48,878.10 and 20,313.88 is: 28,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,422 : 48,878.10 = 20,313.88 : x
  2. Step 2: Convert to fraction form
    35,422/48,878.10 = 20,313.88/x
  3. Step 3: Cross multiply
    35,422x = 48,878.10 × 20,313.88
  4. Step 4: Simplify right side
    35,422x = 992,903,858.03
  5. Step 5: Solve for x
    x = 992,903,858.03/35,422
  6. Step 6: Final answer
    x = 28,030.71

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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.