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Finding the Fourth Proportional to 11,420.80, 15,760.40 and 6,452.80

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Solution

The fourth proportional to 11,420.80, 15,760.40 and 6,452.80 is: 8,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.80 : 15,760.40 = 6,452.80 : x
  2. Step 2: Convert to fraction form
    11,420.80/15,760.40 = 6,452.80/x
  3. Step 3: Cross multiply
    11,420.80x = 15,760.40 × 6,452.80
  4. Step 4: Simplify right side
    11,420.80x = 101,698,709.12
  5. Step 5: Solve for x
    x = 101,698,709.12/11,420.80
  6. Step 6: Final answer
    x = 8,904.69

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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.