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Finding the Fourth Proportional to 8,002.72, 10,961 and 7,530.40

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Solution

The fourth proportional to 8,002.72, 10,961 and 7,530.40 is: 10,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.72 : 10,961 = 7,530.40 : x
  2. Step 2: Convert to fraction form
    8,002.72/10,961 = 7,530.40/x
  3. Step 3: Cross multiply
    8,002.72x = 10,961 × 7,530.40
  4. Step 4: Simplify right side
    8,002.72x = 82,540,714.40
  5. Step 5: Solve for x
    x = 82,540,714.40/8,002.72
  6. Step 6: Final answer
    x = 10,314.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.