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Finding the Fourth Proportional to 6,771.84, 9,340.80 and 4,254.72

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Solution

The fourth proportional to 6,771.84, 9,340.80 and 4,254.72 is: 5,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.84 : 9,340.80 = 4,254.72 : x
  2. Step 2: Convert to fraction form
    6,771.84/9,340.80 = 4,254.72/x
  3. Step 3: Cross multiply
    6,771.84x = 9,340.80 × 4,254.72
  4. Step 4: Simplify right side
    6,771.84x = 39,742,488.58
  5. Step 5: Solve for x
    x = 39,742,488.58/6,771.84
  6. Step 6: Final answer
    x = 5,868.79

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1.5x scale

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.