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Finding the Fourth Proportional to 12,907.70, 17,795.90 and 8,362.30

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Solution

The fourth proportional to 12,907.70, 17,795.90 and 8,362.30 is: 11,529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.70 : 17,795.90 = 8,362.30 : x
  2. Step 2: Convert to fraction form
    12,907.70/17,795.90 = 8,362.30/x
  3. Step 3: Cross multiply
    12,907.70x = 17,795.90 × 8,362.30
  4. Step 4: Simplify right side
    12,907.70x = 148,814,654.57
  5. Step 5: Solve for x
    x = 148,814,654.57/12,907.70
  6. Step 6: Final answer
    x = 11,529.14

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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.