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Finding the Fourth Proportional to 12,897.04, 17,797.44 and 7,309.12

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Solution

The fourth proportional to 12,897.04, 17,797.44 and 7,309.12 is: 10,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.04 : 17,797.44 = 7,309.12 : x
  2. Step 2: Convert to fraction form
    12,897.04/17,797.44 = 7,309.12/x
  3. Step 3: Cross multiply
    12,897.04x = 17,797.44 × 7,309.12
  4. Step 4: Simplify right side
    12,897.04x = 130,083,624.65
  5. Step 5: Solve for x
    x = 130,083,624.65/12,897.04
  6. Step 6: Final answer
    x = 10,086.32

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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.