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Finding the Fourth Proportional to 9,827.40, 13,538.74 and 6,838.10

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Solution

The fourth proportional to 9,827.40, 13,538.74 and 6,838.10 is: 9,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.40 : 13,538.74 = 6,838.10 : x
  2. Step 2: Convert to fraction form
    9,827.40/13,538.74 = 6,838.10/x
  3. Step 3: Cross multiply
    9,827.40x = 13,538.74 × 6,838.10
  4. Step 4: Simplify right side
    9,827.40x = 92,579,257.99
  5. Step 5: Solve for x
    x = 92,579,257.99/9,827.40
  6. Step 6: Final answer
    x = 9,420.52

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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.