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Finding the Fourth Proportional to 8,154.51, 12,163.21 and 7,407.06

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Solution

The fourth proportional to 8,154.51, 12,163.21 and 7,407.06 is: 11,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.51 : 12,163.21 = 7,407.06 : x
  2. Step 2: Convert to fraction form
    8,154.51/12,163.21 = 7,407.06/x
  3. Step 3: Cross multiply
    8,154.51x = 12,163.21 × 7,407.06
  4. Step 4: Simplify right side
    8,154.51x = 90,093,626.26
  5. Step 5: Solve for x
    x = 90,093,626.26/8,154.51
  6. Step 6: Final answer
    x = 11,048.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.