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Finding the Fourth Proportional to 13,406.64, 18,493.56 and 8,430

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Solution

The fourth proportional to 13,406.64, 18,493.56 and 8,430 is: 11,628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.64 : 18,493.56 = 8,430 : x
  2. Step 2: Convert to fraction form
    13,406.64/18,493.56 = 8,430/x
  3. Step 3: Cross multiply
    13,406.64x = 18,493.56 × 8,430
  4. Step 4: Simplify right side
    13,406.64x = 155,900,710.80
  5. Step 5: Solve for x
    x = 155,900,710.80/13,406.64
  6. Step 6: Final answer
    x = 11,628.62

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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.