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Finding the Fourth Proportional to 13,337, 18,406.68 and 7,748

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Solution

The fourth proportional to 13,337, 18,406.68 and 7,748 is: 10,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,337 : 18,406.68 = 7,748 : x
  2. Step 2: Convert to fraction form
    13,337/18,406.68 = 7,748/x
  3. Step 3: Cross multiply
    13,337x = 18,406.68 × 7,748
  4. Step 4: Simplify right side
    13,337x = 142,614,956.64
  5. Step 5: Solve for x
    x = 142,614,956.64/13,337
  6. Step 6: Final answer
    x = 10,693.18

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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.