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Finding the Fourth Proportional to 6,681.84, 10,019.28 and 3,909.12

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Solution

The fourth proportional to 6,681.84, 10,019.28 and 3,909.12 is: 5,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.84 : 10,019.28 = 3,909.12 : x
  2. Step 2: Convert to fraction form
    6,681.84/10,019.28 = 3,909.12/x
  3. Step 3: Cross multiply
    6,681.84x = 10,019.28 × 3,909.12
  4. Step 4: Simplify right side
    6,681.84x = 39,166,567.83
  5. Step 5: Solve for x
    x = 39,166,567.83/6,681.84
  6. Step 6: Final answer
    x = 5,861.64

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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.