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Finding the Fourth Proportional to 12,814.84, 17,684.99 and 7,150.08

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Solution

The fourth proportional to 12,814.84, 17,684.99 and 7,150.08 is: 9,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.84 : 17,684.99 = 7,150.08 : x
  2. Step 2: Convert to fraction form
    12,814.84/17,684.99 = 7,150.08/x
  3. Step 3: Cross multiply
    12,814.84x = 17,684.99 × 7,150.08
  4. Step 4: Simplify right side
    12,814.84x = 126,449,088.51
  5. Step 5: Solve for x
    x = 126,449,088.51/12,814.84
  6. Step 6: Final answer
    x = 9,867.40

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1.5x scale

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.