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Finding the Fourth Proportional to 11,420.42, 15,765.02 and 6,945.60

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Solution

The fourth proportional to 11,420.42, 15,765.02 and 6,945.60 is: 9,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.42 : 15,765.02 = 6,945.60 : x
  2. Step 2: Convert to fraction form
    11,420.42/15,765.02 = 6,945.60/x
  3. Step 3: Cross multiply
    11,420.42x = 15,765.02 × 6,945.60
  4. Step 4: Simplify right side
    11,420.42x = 109,497,522.91
  5. Step 5: Solve for x
    x = 109,497,522.91/11,420.42
  6. Step 6: Final answer
    x = 9,587.87

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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.