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Finding the Fourth Proportional to 6,546.77, 9,820.16 and 5,390.09

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Solution

The fourth proportional to 6,546.77, 9,820.16 and 5,390.09 is: 8,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.77 : 9,820.16 = 5,390.09 : x
  2. Step 2: Convert to fraction form
    6,546.77/9,820.16 = 5,390.09/x
  3. Step 3: Cross multiply
    6,546.77x = 9,820.16 × 5,390.09
  4. Step 4: Simplify right side
    6,546.77x = 52,931,519.26
  5. Step 5: Solve for x
    x = 52,931,519.26/6,546.77
  6. Step 6: Final answer
    x = 8,085.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.