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Finding the Fourth Proportional to 4,975.61, 7,447.01 and 4,428.86

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Solution

The fourth proportional to 4,975.61, 7,447.01 and 4,428.86 is: 6,628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.61 : 7,447.01 = 4,428.86 : x
  2. Step 2: Convert to fraction form
    4,975.61/7,447.01 = 4,428.86/x
  3. Step 3: Cross multiply
    4,975.61x = 7,447.01 × 4,428.86
  4. Step 4: Simplify right side
    4,975.61x = 32,981,705.33
  5. Step 5: Solve for x
    x = 32,981,705.33/4,975.61
  6. Step 6: Final answer
    x = 6,628.68

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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.