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Finding the Fourth Proportional to 12,784.70, 17,642.22 and 7,119.90

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Solution

The fourth proportional to 12,784.70, 17,642.22 and 7,119.90 is: 9,825.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.70 : 17,642.22 = 7,119.90 : x
  2. Step 2: Convert to fraction form
    12,784.70/17,642.22 = 7,119.90/x
  3. Step 3: Cross multiply
    12,784.70x = 17,642.22 × 7,119.90
  4. Step 4: Simplify right side
    12,784.70x = 125,610,842.18
  5. Step 5: Solve for x
    x = 125,610,842.18/12,784.70
  6. Step 6: Final answer
    x = 9,825.09

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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.