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Finding the Fourth Proportional to 7,673.80, 11,478.70 and 6,899.40

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Solution

The fourth proportional to 7,673.80, 11,478.70 and 6,899.40 is: 10,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.80 : 11,478.70 = 6,899.40 : x
  2. Step 2: Convert to fraction form
    7,673.80/11,478.70 = 6,899.40/x
  3. Step 3: Cross multiply
    7,673.80x = 11,478.70 × 6,899.40
  4. Step 4: Simplify right side
    7,673.80x = 79,196,142.78
  5. Step 5: Solve for x
    x = 79,196,142.78/7,673.80
  6. Step 6: Final answer
    x = 10,320.33

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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.