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Finding the Fourth Proportional to 30,020.69, 45,031.07 and 7,834.05

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Solution

The fourth proportional to 30,020.69, 45,031.07 and 7,834.05 is: 11,751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,020.69 : 45,031.07 = 7,834.05 : x
  2. Step 2: Convert to fraction form
    30,020.69/45,031.07 = 7,834.05/x
  3. Step 3: Cross multiply
    30,020.69x = 45,031.07 × 7,834.05
  4. Step 4: Simplify right side
    30,020.69x = 352,775,673.52
  5. Step 5: Solve for x
    x = 352,775,673.52/30,020.69
  6. Step 6: Final answer
    x = 11,751.08

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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.