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Finding the Fourth Proportional to 30,943.44, 46,418.40 and 9,878.40

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Solution

The fourth proportional to 30,943.44, 46,418.40 and 9,878.40 is: 14,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,943.44 : 46,418.40 = 9,878.40 : x
  2. Step 2: Convert to fraction form
    30,943.44/46,418.40 = 9,878.40/x
  3. Step 3: Cross multiply
    30,943.44x = 46,418.40 × 9,878.40
  4. Step 4: Simplify right side
    30,943.44x = 458,539,522.56
  5. Step 5: Solve for x
    x = 458,539,522.56/30,943.44
  6. Step 6: Final answer
    x = 14,818.63

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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.