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Finding the Fourth Proportional to 7,201.86, 9,918.69 and 6,206.77

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Solution

The fourth proportional to 7,201.86, 9,918.69 and 6,206.77 is: 8,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.86 : 9,918.69 = 6,206.77 : x
  2. Step 2: Convert to fraction form
    7,201.86/9,918.69 = 6,206.77/x
  3. Step 3: Cross multiply
    7,201.86x = 9,918.69 × 6,206.77
  4. Step 4: Simplify right side
    7,201.86x = 61,563,027.53
  5. Step 5: Solve for x
    x = 61,563,027.53/7,201.86
  6. Step 6: Final answer
    x = 8,548.21

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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.