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Finding the Fourth Proportional to 14,459.40, 21,703.68 and 9,764.64

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Solution

The fourth proportional to 14,459.40, 21,703.68 and 9,764.64 is: 14,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,459.40 : 21,703.68 = 9,764.64 : x
  2. Step 2: Convert to fraction form
    14,459.40/21,703.68 = 9,764.64/x
  3. Step 3: Cross multiply
    14,459.40x = 21,703.68 × 9,764.64
  4. Step 4: Simplify right side
    14,459.40x = 211,928,621.88
  5. Step 5: Solve for x
    x = 211,928,621.88/14,459.40
  6. Step 6: Final answer
    x = 14,656.81

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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.