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Finding the Fourth Proportional to 8,996, 12,416.16 and 5,270

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Solution

The fourth proportional to 8,996, 12,416.16 and 5,270 is: 7,273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996 : 12,416.16 = 5,270 : x
  2. Step 2: Convert to fraction form
    8,996/12,416.16 = 5,270/x
  3. Step 3: Cross multiply
    8,996x = 12,416.16 × 5,270
  4. Step 4: Simplify right side
    8,996x = 65,433,163.20
  5. Step 5: Solve for x
    x = 65,433,163.20/8,996
  6. Step 6: Final answer
    x = 7,273.58

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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.