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Finding the Fourth Proportional to 15,405, 21,258.81 and 8,331.40

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Solution

The fourth proportional to 15,405, 21,258.81 and 8,331.40 is: 11,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405 : 21,258.81 = 8,331.40 : x
  2. Step 2: Convert to fraction form
    15,405/21,258.81 = 8,331.40/x
  3. Step 3: Cross multiply
    15,405x = 21,258.81 × 8,331.40
  4. Step 4: Simplify right side
    15,405x = 177,115,649.63
  5. Step 5: Solve for x
    x = 177,115,649.63/15,405
  6. Step 6: Final answer
    x = 11,497.28

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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.