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Finding the Fourth Proportional to 6,518.10, 9,000.16 and 6,020.56

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Solution

The fourth proportional to 6,518.10, 9,000.16 and 6,020.56 is: 8,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.10 : 9,000.16 = 6,020.56 : x
  2. Step 2: Convert to fraction form
    6,518.10/9,000.16 = 6,020.56/x
  3. Step 3: Cross multiply
    6,518.10x = 9,000.16 × 6,020.56
  4. Step 4: Simplify right side
    6,518.10x = 54,186,003.29
  5. Step 5: Solve for x
    x = 54,186,003.29/6,518.10
  6. Step 6: Final answer
    x = 8,313.16

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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.