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Finding the Fourth Proportional to 6,443.79, 9,709.58 and 5,299.43

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Solution

The fourth proportional to 6,443.79, 9,709.58 and 5,299.43 is: 7,985.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.79 : 9,709.58 = 5,299.43 : x
  2. Step 2: Convert to fraction form
    6,443.79/9,709.58 = 5,299.43/x
  3. Step 3: Cross multiply
    6,443.79x = 9,709.58 × 5,299.43
  4. Step 4: Simplify right side
    6,443.79x = 51,455,164.49
  5. Step 5: Solve for x
    x = 51,455,164.49/6,443.79
  6. Step 6: Final answer
    x = 7,985.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.