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Finding the Fourth Proportional to 8,020.85, 11,071.81 and 7,180.03

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Solution

The fourth proportional to 8,020.85, 11,071.81 and 7,180.03 is: 9,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.85 : 11,071.81 = 7,180.03 : x
  2. Step 2: Convert to fraction form
    8,020.85/11,071.81 = 7,180.03/x
  3. Step 3: Cross multiply
    8,020.85x = 11,071.81 × 7,180.03
  4. Step 4: Simplify right side
    8,020.85x = 79,495,864.37
  5. Step 5: Solve for x
    x = 79,495,864.37/8,020.85
  6. Step 6: Final answer
    x = 9,911.16

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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.