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Finding the Fourth Proportional to 8,357.76, 12,519.36 and 6,506.88

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Solution

The fourth proportional to 8,357.76, 12,519.36 and 6,506.88 is: 9,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.76 : 12,519.36 = 6,506.88 : x
  2. Step 2: Convert to fraction form
    8,357.76/12,519.36 = 6,506.88/x
  3. Step 3: Cross multiply
    8,357.76x = 12,519.36 × 6,506.88
  4. Step 4: Simplify right side
    8,357.76x = 81,461,973.20
  5. Step 5: Solve for x
    x = 81,461,973.20/8,357.76
  6. Step 6: Final answer
    x = 9,746.87

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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.