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Finding the Fourth Proportional to 3,868.09, 5,802.15 and 946.40

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Solution

The fourth proportional to 3,868.09, 5,802.15 and 946.40 is: 1,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.09 : 5,802.15 = 946.40 : x
  2. Step 2: Convert to fraction form
    3,868.09/5,802.15 = 946.40/x
  3. Step 3: Cross multiply
    3,868.09x = 5,802.15 × 946.40
  4. Step 4: Simplify right side
    3,868.09x = 5,491,156.61
  5. Step 5: Solve for x
    x = 5,491,156.61/3,868.09
  6. Step 6: Final answer
    x = 1,419.61

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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.