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Finding the Fourth Proportional to 30,597.34, 45,912.74 and 11,878.12

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Solution

The fourth proportional to 30,597.34, 45,912.74 and 11,878.12 is: 17,823.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.34 : 45,912.74 = 11,878.12 : x
  2. Step 2: Convert to fraction form
    30,597.34/45,912.74 = 11,878.12/x
  3. Step 3: Cross multiply
    30,597.34x = 45,912.74 × 11,878.12
  4. Step 4: Simplify right side
    30,597.34x = 545,357,035.25
  5. Step 5: Solve for x
    x = 545,357,035.25/30,597.34
  6. Step 6: Final answer
    x = 17,823.67

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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.