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Finding the Fourth Proportional to 31,674.60, 43,728.36 and 21,618

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Solution

The fourth proportional to 31,674.60, 43,728.36 and 21,618 is: 29,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,674.60 : 43,728.36 = 21,618 : x
  2. Step 2: Convert to fraction form
    31,674.60/43,728.36 = 21,618/x
  3. Step 3: Cross multiply
    31,674.60x = 43,728.36 × 21,618
  4. Step 4: Simplify right side
    31,674.60x = 945,319,686.48
  5. Step 5: Solve for x
    x = 945,319,686.48/31,674.60
  6. Step 6: Final answer
    x = 29,844.72

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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.