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Finding the Fourth Proportional to 12,523.99, 17,284.13 and 7,148.07

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Solution

The fourth proportional to 12,523.99, 17,284.13 and 7,148.07 is: 9,864.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.99 : 17,284.13 = 7,148.07 : x
  2. Step 2: Convert to fraction form
    12,523.99/17,284.13 = 7,148.07/x
  3. Step 3: Cross multiply
    12,523.99x = 17,284.13 × 7,148.07
  4. Step 4: Simplify right side
    12,523.99x = 123,548,251.01
  5. Step 5: Solve for x
    x = 123,548,251.01/12,523.99
  6. Step 6: Final answer
    x = 9,864.93

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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.