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Finding the Fourth Proportional to 6,909.84, 10,363.23 and 1,978.38

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Solution

The fourth proportional to 6,909.84, 10,363.23 and 1,978.38 is: 2,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.84 : 10,363.23 = 1,978.38 : x
  2. Step 2: Convert to fraction form
    6,909.84/10,363.23 = 1,978.38/x
  3. Step 3: Cross multiply
    6,909.84x = 10,363.23 × 1,978.38
  4. Step 4: Simplify right side
    6,909.84x = 20,502,406.97
  5. Step 5: Solve for x
    x = 20,502,406.97/6,909.84
  6. Step 6: Final answer
    x = 2,967.13

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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.