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Finding the Fourth Proportional to 11,425.68, 15,768.64 and 6,709.92

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Solution

The fourth proportional to 11,425.68, 15,768.64 and 6,709.92 is: 9,260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.68 : 15,768.64 = 6,709.92 : x
  2. Step 2: Convert to fraction form
    11,425.68/15,768.64 = 6,709.92/x
  3. Step 3: Cross multiply
    11,425.68x = 15,768.64 × 6,709.92
  4. Step 4: Simplify right side
    11,425.68x = 105,806,312.91
  5. Step 5: Solve for x
    x = 105,806,312.91/11,425.68
  6. Step 6: Final answer
    x = 9,260.40

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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.