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Finding the Fourth Proportional to 14,740, 20,358.48 and 9,763.36

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Solution

The fourth proportional to 14,740, 20,358.48 and 9,763.36 is: 13,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,740 : 20,358.48 = 9,763.36 : x
  2. Step 2: Convert to fraction form
    14,740/20,358.48 = 9,763.36/x
  3. Step 3: Cross multiply
    14,740x = 20,358.48 × 9,763.36
  4. Step 4: Simplify right side
    14,740x = 198,767,169.29
  5. Step 5: Solve for x
    x = 198,767,169.29/14,740
  6. Step 6: Final answer
    x = 13,484.88

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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.