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Finding the Fourth Proportional to 12,480.16, 17,222.29 and 6,815.06

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Solution

The fourth proportional to 12,480.16, 17,222.29 and 6,815.06 is: 9,404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480.16 : 17,222.29 = 6,815.06 : x
  2. Step 2: Convert to fraction form
    12,480.16/17,222.29 = 6,815.06/x
  3. Step 3: Cross multiply
    12,480.16x = 17,222.29 × 6,815.06
  4. Step 4: Simplify right side
    12,480.16x = 117,370,939.69
  5. Step 5: Solve for x
    x = 117,370,939.69/12,480.16
  6. Step 6: Final answer
    x = 9,404.60

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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.