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Finding the Fourth Proportional to 9,578.34, 14,352.80 and 6,446.76

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Solution

The fourth proportional to 9,578.34, 14,352.80 and 6,446.76 is: 9,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.34 : 14,352.80 = 6,446.76 : x
  2. Step 2: Convert to fraction form
    9,578.34/14,352.80 = 6,446.76/x
  3. Step 3: Cross multiply
    9,578.34x = 14,352.80 × 6,446.76
  4. Step 4: Simplify right side
    9,578.34x = 92,529,056.93
  5. Step 5: Solve for x
    x = 92,529,056.93/9,578.34
  6. Step 6: Final answer
    x = 9,660.24

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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.