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Finding the Fourth Proportional to 4,703.88, 6,489.48 and 3,209.40

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Solution

The fourth proportional to 4,703.88, 6,489.48 and 3,209.40 is: 4,427.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.88 : 6,489.48 = 3,209.40 : x
  2. Step 2: Convert to fraction form
    4,703.88/6,489.48 = 3,209.40/x
  3. Step 3: Cross multiply
    4,703.88x = 6,489.48 × 3,209.40
  4. Step 4: Simplify right side
    4,703.88x = 20,827,337.11
  5. Step 5: Solve for x
    x = 20,827,337.11/4,703.88
  6. Step 6: Final answer
    x = 4,427.69

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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.