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Finding the Fourth Proportional to 11,471.90, 15,829.92 and 6,435.07

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Solution

The fourth proportional to 11,471.90, 15,829.92 and 6,435.07 is: 8,879.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.90 : 15,829.92 = 6,435.07 : x
  2. Step 2: Convert to fraction form
    11,471.90/15,829.92 = 6,435.07/x
  3. Step 3: Cross multiply
    11,471.90x = 15,829.92 × 6,435.07
  4. Step 4: Simplify right side
    11,471.90x = 101,866,603.72
  5. Step 5: Solve for x
    x = 101,866,603.72/11,471.90
  6. Step 6: Final answer
    x = 8,879.67

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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.