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Finding the Fourth Proportional to 8,132.56, 11,216.74 and 7,000.16

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Solution

The fourth proportional to 8,132.56, 11,216.74 and 7,000.16 is: 9,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.56 : 11,216.74 = 7,000.16 : x
  2. Step 2: Convert to fraction form
    8,132.56/11,216.74 = 7,000.16/x
  3. Step 3: Cross multiply
    8,132.56x = 11,216.74 × 7,000.16
  4. Step 4: Simplify right side
    8,132.56x = 78,518,883.59
  5. Step 5: Solve for x
    x = 78,518,883.59/8,132.56
  6. Step 6: Final answer
    x = 9,654.89

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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.