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Finding the Fourth Proportional to 12,858.14, 17,751.98 and 8,389.64

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Solution

The fourth proportional to 12,858.14, 17,751.98 and 8,389.64 is: 11,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.14 : 17,751.98 = 8,389.64 : x
  2. Step 2: Convert to fraction form
    12,858.14/17,751.98 = 8,389.64/x
  3. Step 3: Cross multiply
    12,858.14x = 17,751.98 × 8,389.64
  4. Step 4: Simplify right side
    12,858.14x = 148,932,721.49
  5. Step 5: Solve for x
    x = 148,932,721.49/12,858.14
  6. Step 6: Final answer
    x = 11,582.76

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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.