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Finding the Fourth Proportional to 11,493.90, 15,867.90 and 10,821.60

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Solution

The fourth proportional to 11,493.90, 15,867.90 and 10,821.60 is: 14,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.90 : 15,867.90 = 10,821.60 : x
  2. Step 2: Convert to fraction form
    11,493.90/15,867.90 = 10,821.60/x
  3. Step 3: Cross multiply
    11,493.90x = 15,867.90 × 10,821.60
  4. Step 4: Simplify right side
    11,493.90x = 171,716,066.64
  5. Step 5: Solve for x
    x = 171,716,066.64/11,493.90
  6. Step 6: Final answer
    x = 14,939.76

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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.