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Finding the Fourth Proportional to 12,927.79, 17,840.41 and 7,262.78

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Solution

The fourth proportional to 12,927.79, 17,840.41 and 7,262.78 is: 10,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.79 : 17,840.41 = 7,262.78 : x
  2. Step 2: Convert to fraction form
    12,927.79/17,840.41 = 7,262.78/x
  3. Step 3: Cross multiply
    12,927.79x = 17,840.41 × 7,262.78
  4. Step 4: Simplify right side
    12,927.79x = 129,570,941.74
  5. Step 5: Solve for x
    x = 129,570,941.74/12,927.79
  6. Step 6: Final answer
    x = 10,022.67

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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.