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Finding the Fourth Proportional to 35,972, 49,647.84 and 21,068

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Solution

The fourth proportional to 35,972, 49,647.84 and 21,068 is: 29,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,972 : 49,647.84 = 21,068 : x
  2. Step 2: Convert to fraction form
    35,972/49,647.84 = 21,068/x
  3. Step 3: Cross multiply
    35,972x = 49,647.84 × 21,068
  4. Step 4: Simplify right side
    35,972x = 1,045,980,693.12
  5. Step 5: Solve for x
    x = 1,045,980,693.12/35,972
  6. Step 6: Final answer
    x = 29,077.64

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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.