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Finding the Fourth Proportional to 12,784.14, 17,640.99 and 7,118.46

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Solution

The fourth proportional to 12,784.14, 17,640.99 and 7,118.46 is: 9,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.14 : 17,640.99 = 7,118.46 : x
  2. Step 2: Convert to fraction form
    12,784.14/17,640.99 = 7,118.46/x
  3. Step 3: Cross multiply
    12,784.14x = 17,640.99 × 7,118.46
  4. Step 4: Simplify right side
    12,784.14x = 125,576,681.68
  5. Step 5: Solve for x
    x = 125,576,681.68/12,784.14
  6. Step 6: Final answer
    x = 9,822.85

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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.