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Finding the Fourth Proportional to 35,344, 53,017.08 and 10,720

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Solution

The fourth proportional to 35,344, 53,017.08 and 10,720 is: 16,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,344 : 53,017.08 = 10,720 : x
  2. Step 2: Convert to fraction form
    35,344/53,017.08 = 10,720/x
  3. Step 3: Cross multiply
    35,344x = 53,017.08 × 10,720
  4. Step 4: Simplify right side
    35,344x = 568,343,097.60
  5. Step 5: Solve for x
    x = 568,343,097.60/35,344
  6. Step 6: Final answer
    x = 16,080.33

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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.