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Finding the Fourth Proportional to 11,420.51, 15,765.16 and 6,945.70

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Solution

The fourth proportional to 11,420.51, 15,765.16 and 6,945.70 is: 9,588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.51 : 15,765.16 = 6,945.70 : x
  2. Step 2: Convert to fraction form
    11,420.51/15,765.16 = 6,945.70/x
  3. Step 3: Cross multiply
    11,420.51x = 15,765.16 × 6,945.70
  4. Step 4: Simplify right side
    11,420.51x = 109,500,049.76
  5. Step 5: Solve for x
    x = 109,500,049.76/11,420.51
  6. Step 6: Final answer
    x = 9,588.02

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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.