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Finding the Fourth Proportional to 11,480.79, 15,842.31 and 7,703.20

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Solution

The fourth proportional to 11,480.79, 15,842.31 and 7,703.20 is: 10,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.79 : 15,842.31 = 7,703.20 : x
  2. Step 2: Convert to fraction form
    11,480.79/15,842.31 = 7,703.20/x
  3. Step 3: Cross multiply
    11,480.79x = 15,842.31 × 7,703.20
  4. Step 4: Simplify right side
    11,480.79x = 122,036,494.97
  5. Step 5: Solve for x
    x = 122,036,494.97/11,480.79
  6. Step 6: Final answer
    x = 10,629.63

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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.