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Finding the Fourth Proportional to 6,819.21, 9,387.77 and 6,505.74

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Solution

The fourth proportional to 6,819.21, 9,387.77 and 6,505.74 is: 8,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.21 : 9,387.77 = 6,505.74 : x
  2. Step 2: Convert to fraction form
    6,819.21/9,387.77 = 6,505.74/x
  3. Step 3: Cross multiply
    6,819.21x = 9,387.77 × 6,505.74
  4. Step 4: Simplify right side
    6,819.21x = 61,074,358.27
  5. Step 5: Solve for x
    x = 61,074,358.27/6,819.21
  6. Step 6: Final answer
    x = 8,956.22

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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.