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Finding the Fourth Proportional to 6,204.61, 9,308.84 and 1,988.49

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Solution

The fourth proportional to 6,204.61, 9,308.84 and 1,988.49 is: 2,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.61 : 9,308.84 = 1,988.49 : x
  2. Step 2: Convert to fraction form
    6,204.61/9,308.84 = 1,988.49/x
  3. Step 3: Cross multiply
    6,204.61x = 9,308.84 × 1,988.49
  4. Step 4: Simplify right side
    6,204.61x = 18,510,525.31
  5. Step 5: Solve for x
    x = 18,510,525.31/6,204.61
  6. Step 6: Final answer
    x = 2,983.35

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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.