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Finding the Fourth Proportional to 35,958.60, 49,628.70 and 21,821.40

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Solution

The fourth proportional to 35,958.60, 49,628.70 and 21,821.40 is: 30,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,958.60 : 49,628.70 = 21,821.40 : x
  2. Step 2: Convert to fraction form
    35,958.60/49,628.70 = 21,821.40/x
  3. Step 3: Cross multiply
    35,958.60x = 49,628.70 × 21,821.40
  4. Step 4: Simplify right side
    35,958.60x = 1,082,967,714.18
  5. Step 5: Solve for x
    x = 1,082,967,714.18/35,958.60
  6. Step 6: Final answer
    x = 30,117.07

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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.