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Finding the Fourth Proportional to 41,965.84, 57,931 and 30,008.40

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Solution

The fourth proportional to 41,965.84, 57,931 and 30,008.40 is: 41,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,965.84 : 57,931 = 30,008.40 : x
  2. Step 2: Convert to fraction form
    41,965.84/57,931 = 30,008.40/x
  3. Step 3: Cross multiply
    41,965.84x = 57,931 × 30,008.40
  4. Step 4: Simplify right side
    41,965.84x = 1,738,416,620.40
  5. Step 5: Solve for x
    x = 1,738,416,620.40/41,965.84
  6. Step 6: Final answer
    x = 41,424.56

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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.