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Finding the Fourth Proportional to 8,417, 12,632.34 and 7,192.28

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Solution

The fourth proportional to 8,417, 12,632.34 and 7,192.28 is: 10,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417 : 12,632.34 = 7,192.28 : x
  2. Step 2: Convert to fraction form
    8,417/12,632.34 = 7,192.28/x
  3. Step 3: Cross multiply
    8,417x = 12,632.34 × 7,192.28
  4. Step 4: Simplify right side
    8,417x = 90,855,326.34
  5. Step 5: Solve for x
    x = 90,855,326.34/8,417
  6. Step 6: Final answer
    x = 10,794.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.