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Finding the Fourth Proportional to 12,438.99, 17,164.44 and 7,402.52

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Solution

The fourth proportional to 12,438.99, 17,164.44 and 7,402.52 is: 10,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.99 : 17,164.44 = 7,402.52 : x
  2. Step 2: Convert to fraction form
    12,438.99/17,164.44 = 7,402.52/x
  3. Step 3: Cross multiply
    12,438.99x = 17,164.44 × 7,402.52
  4. Step 4: Simplify right side
    12,438.99x = 127,060,153.30
  5. Step 5: Solve for x
    x = 127,060,153.30/12,438.99
  6. Step 6: Final answer
    x = 10,214.67

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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.