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Finding the Fourth Proportional to 9,782.88, 14,674.32 and 3,209.10

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Solution

The fourth proportional to 9,782.88, 14,674.32 and 3,209.10 is: 4,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.88 : 14,674.32 = 3,209.10 : x
  2. Step 2: Convert to fraction form
    9,782.88/14,674.32 = 3,209.10/x
  3. Step 3: Cross multiply
    9,782.88x = 14,674.32 × 3,209.10
  4. Step 4: Simplify right side
    9,782.88x = 47,091,360.31
  5. Step 5: Solve for x
    x = 47,091,360.31/9,782.88
  6. Step 6: Final answer
    x = 4,813.65

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Similar ratio
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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.