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Finding the Fourth Proportional to 12,868.13, 17,758.02 and 6,980.13

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Solution

The fourth proportional to 12,868.13, 17,758.02 and 6,980.13 is: 9,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.13 : 17,758.02 = 6,980.13 : x
  2. Step 2: Convert to fraction form
    12,868.13/17,758.02 = 6,980.13/x
  3. Step 3: Cross multiply
    12,868.13x = 17,758.02 × 6,980.13
  4. Step 4: Simplify right side
    12,868.13x = 123,953,288.14
  5. Step 5: Solve for x
    x = 123,953,288.14/12,868.13
  6. Step 6: Final answer
    x = 9,632.58

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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.