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Finding the Fourth Proportional to 9,878.64, 13,628.70 and 6,343.80

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Solution

The fourth proportional to 9,878.64, 13,628.70 and 6,343.80 is: 8,751.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.64 : 13,628.70 = 6,343.80 : x
  2. Step 2: Convert to fraction form
    9,878.64/13,628.70 = 6,343.80/x
  3. Step 3: Cross multiply
    9,878.64x = 13,628.70 × 6,343.80
  4. Step 4: Simplify right side
    9,878.64x = 86,457,747.06
  5. Step 5: Solve for x
    x = 86,457,747.06/9,878.64
  6. Step 6: Final answer
    x = 8,751.99

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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.