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Finding the Fourth Proportional to 35,478, 48,958.43 and 19,561.50

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Solution

The fourth proportional to 35,478, 48,958.43 and 19,561.50 is: 26,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,478 : 48,958.43 = 19,561.50 : x
  2. Step 2: Convert to fraction form
    35,478/48,958.43 = 19,561.50/x
  3. Step 3: Cross multiply
    35,478x = 48,958.43 × 19,561.50
  4. Step 4: Simplify right side
    35,478x = 957,700,230.64
  5. Step 5: Solve for x
    x = 957,700,230.64/35,478
  6. Step 6: Final answer
    x = 26,994.20

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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.