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Finding the Fourth Proportional to 11,653.76, 17,480.64 and 4,258.56

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Solution

The fourth proportional to 11,653.76, 17,480.64 and 4,258.56 is: 6,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.76 : 17,480.64 = 4,258.56 : x
  2. Step 2: Convert to fraction form
    11,653.76/17,480.64 = 4,258.56/x
  3. Step 3: Cross multiply
    11,653.76x = 17,480.64 × 4,258.56
  4. Step 4: Simplify right side
    11,653.76x = 74,442,354.28
  5. Step 5: Solve for x
    x = 74,442,354.28/11,653.76
  6. Step 6: Final answer
    x = 6,387.84

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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.