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Finding the Fourth Proportional to 30,867.47, 46,304.30 and 8,378.53

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Solution

The fourth proportional to 30,867.47, 46,304.30 and 8,378.53 is: 12,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.47 : 46,304.30 = 8,378.53 : x
  2. Step 2: Convert to fraction form
    30,867.47/46,304.30 = 8,378.53/x
  3. Step 3: Cross multiply
    30,867.47x = 46,304.30 × 8,378.53
  4. Step 4: Simplify right side
    30,867.47x = 387,961,827.37
  5. Step 5: Solve for x
    x = 387,961,827.37/30,867.47
  6. Step 6: Final answer
    x = 12,568.63

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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.