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Finding the Fourth Proportional to 10,394.30, 14,344.13 and 5,678.58

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Solution

The fourth proportional to 10,394.30, 14,344.13 and 5,678.58 is: 7,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.30 : 14,344.13 = 5,678.58 : x
  2. Step 2: Convert to fraction form
    10,394.30/14,344.13 = 5,678.58/x
  3. Step 3: Cross multiply
    10,394.30x = 14,344.13 × 5,678.58
  4. Step 4: Simplify right side
    10,394.30x = 81,454,261.34
  5. Step 5: Solve for x
    x = 81,454,261.34/10,394.30
  6. Step 6: Final answer
    x = 7,836.44

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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.