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Finding the Fourth Proportional to 11,930.88, 16,454.88 and 8,574.24

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Solution

The fourth proportional to 11,930.88, 16,454.88 and 8,574.24 is: 11,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.88 : 16,454.88 = 8,574.24 : x
  2. Step 2: Convert to fraction form
    11,930.88/16,454.88 = 8,574.24/x
  3. Step 3: Cross multiply
    11,930.88x = 16,454.88 × 8,574.24
  4. Step 4: Simplify right side
    11,930.88x = 141,088,090.29
  5. Step 5: Solve for x
    x = 141,088,090.29/11,930.88
  6. Step 6: Final answer
    x = 11,825.46

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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.