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Finding the Fourth Proportional to 37,778, 52,133.64 and 21,010.64

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Solution

The fourth proportional to 37,778, 52,133.64 and 21,010.64 is: 28,994.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,778 : 52,133.64 = 21,010.64 : x
  2. Step 2: Convert to fraction form
    37,778/52,133.64 = 21,010.64/x
  3. Step 3: Cross multiply
    37,778x = 52,133.64 × 21,010.64
  4. Step 4: Simplify right side
    37,778x = 1,095,361,141.93
  5. Step 5: Solve for x
    x = 1,095,361,141.93/37,778
  6. Step 6: Final answer
    x = 28,994.68

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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.