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Finding the Fourth Proportional to 10,808.64, 14,916.96 and 6,829.92

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Solution

The fourth proportional to 10,808.64, 14,916.96 and 6,829.92 is: 9,425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.64 : 14,916.96 = 6,829.92 : x
  2. Step 2: Convert to fraction form
    10,808.64/14,916.96 = 6,829.92/x
  3. Step 3: Cross multiply
    10,808.64x = 14,916.96 × 6,829.92
  4. Step 4: Simplify right side
    10,808.64x = 101,881,643.44
  5. Step 5: Solve for x
    x = 101,881,643.44/10,808.64
  6. Step 6: Final answer
    x = 9,425.94

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Why These Related Problems?

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