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Finding the Fourth Proportional to 30,641.09, 45,971.54 and 15,047.78

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Solution

The fourth proportional to 30,641.09, 45,971.54 and 15,047.78 is: 22,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.09 : 45,971.54 = 15,047.78 : x
  2. Step 2: Convert to fraction form
    30,641.09/45,971.54 = 15,047.78/x
  3. Step 3: Cross multiply
    30,641.09x = 45,971.54 × 15,047.78
  4. Step 4: Simplify right side
    30,641.09x = 691,769,315.08
  5. Step 5: Solve for x
    x = 691,769,315.08/30,641.09
  6. Step 6: Final answer
    x = 22,576.53

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1.5x scale

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.