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Finding the Fourth Proportional to 30,285.71, 41,783.07 and 30,239

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Solution

The fourth proportional to 30,285.71, 41,783.07 and 30,239 is: 41,718.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.71 : 41,783.07 = 30,239 : x
  2. Step 2: Convert to fraction form
    30,285.71/41,783.07 = 30,239/x
  3. Step 3: Cross multiply
    30,285.71x = 41,783.07 × 30,239
  4. Step 4: Simplify right side
    30,285.71x = 1,263,478,102.54
  5. Step 5: Solve for x
    x = 1,263,478,102.54/30,285.71
  6. Step 6: Final answer
    x = 41,718.63

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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.