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Finding the Fourth Proportional to 12,783.99, 17,649.99 and 9,794.28

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Solution

The fourth proportional to 12,783.99, 17,649.99 and 9,794.28 is: 13,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.99 : 17,649.99 = 9,794.28 : x
  2. Step 2: Convert to fraction form
    12,783.99/17,649.99 = 9,794.28/x
  3. Step 3: Cross multiply
    12,783.99x = 17,649.99 × 9,794.28
  4. Step 4: Simplify right side
    12,783.99x = 172,868,944.06
  5. Step 5: Solve for x
    x = 172,868,944.06/12,783.99
  6. Step 6: Final answer
    x = 13,522.30

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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.