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Finding the Fourth Proportional to 6,869.49, 9,478.65 and 3,884.23

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Solution

The fourth proportional to 6,869.49, 9,478.65 and 3,884.23 is: 5,359.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.49 : 9,478.65 = 3,884.23 : x
  2. Step 2: Convert to fraction form
    6,869.49/9,478.65 = 3,884.23/x
  3. Step 3: Cross multiply
    6,869.49x = 9,478.65 × 3,884.23
  4. Step 4: Simplify right side
    6,869.49x = 36,817,256.69
  5. Step 5: Solve for x
    x = 36,817,256.69/6,869.49
  6. Step 6: Final answer
    x = 5,359.53

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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.