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Finding the Fourth Proportional to 12,907.70, 17,809.88 and 8,438.01

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Solution

The fourth proportional to 12,907.70, 17,809.88 and 8,438.01 is: 11,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.70 : 17,809.88 = 8,438.01 : x
  2. Step 2: Convert to fraction form
    12,907.70/17,809.88 = 8,438.01/x
  3. Step 3: Cross multiply
    12,907.70x = 17,809.88 × 8,438.01
  4. Step 4: Simplify right side
    12,907.70x = 150,279,903.35
  5. Step 5: Solve for x
    x = 150,279,903.35/12,907.70
  6. Step 6: Final answer
    x = 11,642.66

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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.