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Finding the Fourth Proportional to 31,974.40, 48,019.20 and 23,219.20

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Solution

The fourth proportional to 31,974.40, 48,019.20 and 23,219.20 is: 34,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,974.40 : 48,019.20 = 23,219.20 : x
  2. Step 2: Convert to fraction form
    31,974.40/48,019.20 = 23,219.20/x
  3. Step 3: Cross multiply
    31,974.40x = 48,019.20 × 23,219.20
  4. Step 4: Simplify right side
    31,974.40x = 1,114,967,408.64
  5. Step 5: Solve for x
    x = 1,114,967,408.64/31,974.40
  6. Step 6: Final answer
    x = 34,870.63

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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.