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Finding the Fourth Proportional to 11,864.88, 17,821.22 and 7,130.43

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Solution

The fourth proportional to 11,864.88, 17,821.22 and 7,130.43 is: 10,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.88 : 17,821.22 = 7,130.43 : x
  2. Step 2: Convert to fraction form
    11,864.88/17,821.22 = 7,130.43/x
  3. Step 3: Cross multiply
    11,864.88x = 17,821.22 × 7,130.43
  4. Step 4: Simplify right side
    11,864.88x = 127,072,926.07
  5. Step 5: Solve for x
    x = 127,072,926.07/11,864.88
  6. Step 6: Final answer
    x = 10,710.01

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1.5x scale

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.