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Finding the Fourth Proportional to 6,548.40, 9,815.40 and 3,258.36

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Solution

The fourth proportional to 6,548.40, 9,815.40 and 3,258.36 is: 4,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.40 : 9,815.40 = 3,258.36 : x
  2. Step 2: Convert to fraction form
    6,548.40/9,815.40 = 3,258.36/x
  3. Step 3: Cross multiply
    6,548.40x = 9,815.40 × 3,258.36
  4. Step 4: Simplify right side
    6,548.40x = 31,982,106.74
  5. Step 5: Solve for x
    x = 31,982,106.74/6,548.40
  6. Step 6: Final answer
    x = 4,883.96

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1.5x scale

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.