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Finding the Fourth Proportional to 30,992.40, 46,357.29 and 21,019.68

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Solution

The fourth proportional to 30,992.40, 46,357.29 and 21,019.68 is: 31,440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.40 : 46,357.29 = 21,019.68 : x
  2. Step 2: Convert to fraction form
    30,992.40/46,357.29 = 21,019.68/x
  3. Step 3: Cross multiply
    30,992.40x = 46,357.29 × 21,019.68
  4. Step 4: Simplify right side
    30,992.40x = 974,415,401.47
  5. Step 5: Solve for x
    x = 974,415,401.47/30,992.40
  6. Step 6: Final answer
    x = 31,440.46

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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.