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Finding the Fourth Proportional to 27,981.84, 41,946.84 and 10,438.32

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Solution

The fourth proportional to 27,981.84, 41,946.84 and 10,438.32 is: 15,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,981.84 : 41,946.84 = 10,438.32 : x
  2. Step 2: Convert to fraction form
    27,981.84/41,946.84 = 10,438.32/x
  3. Step 3: Cross multiply
    27,981.84x = 41,946.84 × 10,438.32
  4. Step 4: Simplify right side
    27,981.84x = 437,854,538.91
  5. Step 5: Solve for x
    x = 437,854,538.91/27,981.84
  6. Step 6: Final answer
    x = 15,647.81

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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.