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Finding the Fourth Proportional to 11,393.13, 15,728.43 and 8,323.54

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Solution

The fourth proportional to 11,393.13, 15,728.43 and 8,323.54 is: 11,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.13 : 15,728.43 = 8,323.54 : x
  2. Step 2: Convert to fraction form
    11,393.13/15,728.43 = 8,323.54/x
  3. Step 3: Cross multiply
    11,393.13x = 15,728.43 × 8,323.54
  4. Step 4: Simplify right side
    11,393.13x = 130,916,222.02
  5. Step 5: Solve for x
    x = 130,916,222.02/11,393.13
  6. Step 6: Final answer
    x = 11,490.80

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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.