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Finding the Fourth Proportional to 13,670.40, 20,462.40 and 9,782.40

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Solution

The fourth proportional to 13,670.40, 20,462.40 and 9,782.40 is: 14,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.40 : 20,462.40 = 9,782.40 : x
  2. Step 2: Convert to fraction form
    13,670.40/20,462.40 = 9,782.40/x
  3. Step 3: Cross multiply
    13,670.40x = 20,462.40 × 9,782.40
  4. Step 4: Simplify right side
    13,670.40x = 200,171,381.76
  5. Step 5: Solve for x
    x = 200,171,381.76/13,670.40
  6. Step 6: Final answer
    x = 14,642.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.