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Finding the Fourth Proportional to 6,821.62, 9,415.04 and 6,509.97

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Solution

The fourth proportional to 6,821.62, 9,415.04 and 6,509.97 is: 8,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.62 : 9,415.04 = 6,509.97 : x
  2. Step 2: Convert to fraction form
    6,821.62/9,415.04 = 6,509.97/x
  3. Step 3: Cross multiply
    6,821.62x = 9,415.04 × 6,509.97
  4. Step 4: Simplify right side
    6,821.62x = 61,291,595.40
  5. Step 5: Solve for x
    x = 61,291,595.40/6,821.62
  6. Step 6: Final answer
    x = 8,984.91

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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.