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Finding the Fourth Proportional to 11,441.54, 15,788.02 and 6,405.06

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Solution

The fourth proportional to 11,441.54, 15,788.02 and 6,405.06 is: 8,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.54 : 15,788.02 = 6,405.06 : x
  2. Step 2: Convert to fraction form
    11,441.54/15,788.02 = 6,405.06/x
  3. Step 3: Cross multiply
    11,441.54x = 15,788.02 × 6,405.06
  4. Step 4: Simplify right side
    11,441.54x = 101,123,215.38
  5. Step 5: Solve for x
    x = 101,123,215.38/11,441.54
  6. Step 6: Final answer
    x = 8,838.25

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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.