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Finding the Fourth Proportional to 37,980, 52,412.40 and 21,213

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Solution

The fourth proportional to 37,980, 52,412.40 and 21,213 is: 29,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,980 : 52,412.40 = 21,213 : x
  2. Step 2: Convert to fraction form
    37,980/52,412.40 = 21,213/x
  3. Step 3: Cross multiply
    37,980x = 52,412.40 × 21,213
  4. Step 4: Simplify right side
    37,980x = 1,111,824,241.20
  5. Step 5: Solve for x
    x = 1,111,824,241.20/37,980
  6. Step 6: Final answer
    x = 29,273.94

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1.5x scale

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.