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Finding the Fourth Proportional to 35,748, 49,334.40 and 20,844

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Solution

The fourth proportional to 35,748, 49,334.40 and 20,844 is: 28,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,748 : 49,334.40 = 20,844 : x
  2. Step 2: Convert to fraction form
    35,748/49,334.40 = 20,844/x
  3. Step 3: Cross multiply
    35,748x = 49,334.40 × 20,844
  4. Step 4: Simplify right side
    35,748x = 1,028,326,233.60
  5. Step 5: Solve for x
    x = 1,028,326,233.60/35,748
  6. Step 6: Final answer
    x = 28,765.98

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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.