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Finding the Fourth Proportional to 10,281.68, 15,422.53 and 7,945.09

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Solution

The fourth proportional to 10,281.68, 15,422.53 and 7,945.09 is: 11,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.68 : 15,422.53 = 7,945.09 : x
  2. Step 2: Convert to fraction form
    10,281.68/15,422.53 = 7,945.09/x
  3. Step 3: Cross multiply
    10,281.68x = 15,422.53 × 7,945.09
  4. Step 4: Simplify right side
    10,281.68x = 122,533,388.88
  5. Step 5: Solve for x
    x = 122,533,388.88/10,281.68
  6. Step 6: Final answer
    x = 11,917.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.