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Finding the Fourth Proportional to 27,844.16, 38,421.49 and 17,778.49

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Solution

The fourth proportional to 27,844.16, 38,421.49 and 17,778.49 is: 24,532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844.16 : 38,421.49 = 17,778.49 : x
  2. Step 2: Convert to fraction form
    27,844.16/38,421.49 = 17,778.49/x
  3. Step 3: Cross multiply
    27,844.16x = 38,421.49 × 17,778.49
  4. Step 4: Simplify right side
    27,844.16x = 683,075,968.58
  5. Step 5: Solve for x
    x = 683,075,968.58/27,844.16
  6. Step 6: Final answer
    x = 24,532.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.