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Finding the Fourth Proportional to 6,783.84, 10,158.48 and 3,312

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Solution

The fourth proportional to 6,783.84, 10,158.48 and 3,312 is: 4,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.84 : 10,158.48 = 3,312 : x
  2. Step 2: Convert to fraction form
    6,783.84/10,158.48 = 3,312/x
  3. Step 3: Cross multiply
    6,783.84x = 10,158.48 × 3,312
  4. Step 4: Simplify right side
    6,783.84x = 33,644,885.76
  5. Step 5: Solve for x
    x = 33,644,885.76/6,783.84
  6. Step 6: Final answer
    x = 4,959.56

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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.