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Finding the Fourth Proportional to 37,894.40, 56,768.80 and 21,203.76

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Solution

The fourth proportional to 37,894.40, 56,768.80 and 21,203.76 is: 31,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,894.40 : 56,768.80 = 21,203.76 : x
  2. Step 2: Convert to fraction form
    37,894.40/56,768.80 = 21,203.76/x
  3. Step 3: Cross multiply
    37,894.40x = 56,768.80 × 21,203.76
  4. Step 4: Simplify right side
    37,894.40x = 1,203,712,010.69
  5. Step 5: Solve for x
    x = 1,203,712,010.69/37,894.40
  6. Step 6: Final answer
    x = 31,764.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.