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Finding the Fourth Proportional to 7,854, 11,750.76 and 7,797.84

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Solution

The fourth proportional to 7,854, 11,750.76 and 7,797.84 is: 11,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854 : 11,750.76 = 7,797.84 : x
  2. Step 2: Convert to fraction form
    7,854/11,750.76 = 7,797.84/x
  3. Step 3: Cross multiply
    7,854x = 11,750.76 × 7,797.84
  4. Step 4: Simplify right side
    7,854x = 91,630,546.36
  5. Step 5: Solve for x
    x = 91,630,546.36/7,854
  6. Step 6: Final answer
    x = 11,666.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.