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Finding the Fourth Proportional to 7,005.76, 10,521.84 and 6,427.84

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Solution

The fourth proportional to 7,005.76, 10,521.84 and 6,427.84 is: 9,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.76 : 10,521.84 = 6,427.84 : x
  2. Step 2: Convert to fraction form
    7,005.76/10,521.84 = 6,427.84/x
  3. Step 3: Cross multiply
    7,005.76x = 10,521.84 × 6,427.84
  4. Step 4: Simplify right side
    7,005.76x = 67,632,704.03
  5. Step 5: Solve for x
    x = 67,632,704.03/7,005.76
  6. Step 6: Final answer
    x = 9,653.87

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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.