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Finding the Fourth Proportional to 7,709.30, 10,640.88 and 4,354.07

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Solution

The fourth proportional to 7,709.30, 10,640.88 and 4,354.07 is: 6,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.30 : 10,640.88 = 4,354.07 : x
  2. Step 2: Convert to fraction form
    7,709.30/10,640.88 = 4,354.07/x
  3. Step 3: Cross multiply
    7,709.30x = 10,640.88 × 4,354.07
  4. Step 4: Simplify right side
    7,709.30x = 46,331,162.98
  5. Step 5: Solve for x
    x = 46,331,162.98/7,709.30
  6. Step 6: Final answer
    x = 6,009.78

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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.