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Finding the Fourth Proportional to 11,430.78, 15,776.94 and 6,955.97

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Solution

The fourth proportional to 11,430.78, 15,776.94 and 6,955.97 is: 9,600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.78 : 15,776.94 = 6,955.97 : x
  2. Step 2: Convert to fraction form
    11,430.78/15,776.94 = 6,955.97/x
  3. Step 3: Cross multiply
    11,430.78x = 15,776.94 × 6,955.97
  4. Step 4: Simplify right side
    11,430.78x = 109,743,921.33
  5. Step 5: Solve for x
    x = 109,743,921.33/11,430.78
  6. Step 6: Final answer
    x = 9,600.74

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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.