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Finding the Fourth Proportional to 12,830.78, 17,706.58 and 7,165.38

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Solution

The fourth proportional to 12,830.78, 17,706.58 and 7,165.38 is: 9,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.78 : 17,706.58 = 7,165.38 : x
  2. Step 2: Convert to fraction form
    12,830.78/17,706.58 = 7,165.38/x
  3. Step 3: Cross multiply
    12,830.78x = 17,706.58 × 7,165.38
  4. Step 4: Simplify right side
    12,830.78x = 126,874,374.20
  5. Step 5: Solve for x
    x = 126,874,374.20/12,830.78
  6. Step 6: Final answer
    x = 9,888.28

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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.