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Finding the Fourth Proportional to 7,349.47, 10,142.10 and 3,992.21

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Solution

The fourth proportional to 7,349.47, 10,142.10 and 3,992.21 is: 5,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.47 : 10,142.10 = 3,992.21 : x
  2. Step 2: Convert to fraction form
    7,349.47/10,142.10 = 3,992.21/x
  3. Step 3: Cross multiply
    7,349.47x = 10,142.10 × 3,992.21
  4. Step 4: Simplify right side
    7,349.47x = 40,489,420.12
  5. Step 5: Solve for x
    x = 40,489,420.12/7,349.47
  6. Step 6: Final answer
    x = 5,509.16

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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.