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Finding the Fourth Proportional to 34,404.66, 47,478.06 and 20,975.06

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Solution

The fourth proportional to 34,404.66, 47,478.06 and 20,975.06 is: 28,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,404.66 : 47,478.06 = 20,975.06 : x
  2. Step 2: Convert to fraction form
    34,404.66/47,478.06 = 20,975.06/x
  3. Step 3: Cross multiply
    34,404.66x = 47,478.06 × 20,975.06
  4. Step 4: Simplify right side
    34,404.66x = 995,854,919.79
  5. Step 5: Solve for x
    x = 995,854,919.79/34,404.66
  6. Step 6: Final answer
    x = 28,945.35

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1.5x scale

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.