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Finding the Fourth Proportional to 30,981.59, 46,490.36 and 13,211.30

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Solution

The fourth proportional to 30,981.59, 46,490.36 and 13,211.30 is: 19,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,981.59 : 46,490.36 = 13,211.30 : x
  2. Step 2: Convert to fraction form
    30,981.59/46,490.36 = 13,211.30/x
  3. Step 3: Cross multiply
    30,981.59x = 46,490.36 × 13,211.30
  4. Step 4: Simplify right side
    30,981.59x = 614,198,143.24
  5. Step 5: Solve for x
    x = 614,198,143.24/30,981.59
  6. Step 6: Final answer
    x = 19,824.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.