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Finding the Fourth Proportional to 14,169.84, 21,258 and 6,776.16

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Solution

The fourth proportional to 14,169.84, 21,258 and 6,776.16 is: 10,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,169.84 : 21,258 = 6,776.16 : x
  2. Step 2: Convert to fraction form
    14,169.84/21,258 = 6,776.16/x
  3. Step 3: Cross multiply
    14,169.84x = 21,258 × 6,776.16
  4. Step 4: Simplify right side
    14,169.84x = 144,047,609.28
  5. Step 5: Solve for x
    x = 144,047,609.28/14,169.84
  6. Step 6: Final answer
    x = 10,165.79

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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.