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Finding the Fourth Proportional to 30,556.71, 45,835.10 and 8,370.28

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Solution

The fourth proportional to 30,556.71, 45,835.10 and 8,370.28 is: 12,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,556.71 : 45,835.10 = 8,370.28 : x
  2. Step 2: Convert to fraction form
    30,556.71/45,835.10 = 8,370.28/x
  3. Step 3: Cross multiply
    30,556.71x = 45,835.10 × 8,370.28
  4. Step 4: Simplify right side
    30,556.71x = 383,652,409.84
  5. Step 5: Solve for x
    x = 383,652,409.84/30,556.71
  6. Step 6: Final answer
    x = 12,555.42

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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.