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Finding the Fourth Proportional to 30,496.99, 45,749.73 and 9,438.73

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Solution

The fourth proportional to 30,496.99, 45,749.73 and 9,438.73 is: 14,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.99 : 45,749.73 = 9,438.73 : x
  2. Step 2: Convert to fraction form
    30,496.99/45,749.73 = 9,438.73/x
  3. Step 3: Cross multiply
    30,496.99x = 45,749.73 × 9,438.73
  4. Step 4: Simplify right side
    30,496.99x = 431,819,349.04
  5. Step 5: Solve for x
    x = 431,819,349.04/30,496.99
  6. Step 6: Final answer
    x = 14,159.41

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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.