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Finding the Fourth Proportional to 10,689.65, 14,750.69 and 6,213.34

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Solution

The fourth proportional to 10,689.65, 14,750.69 and 6,213.34 is: 8,573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.65 : 14,750.69 = 6,213.34 : x
  2. Step 2: Convert to fraction form
    10,689.65/14,750.69 = 6,213.34/x
  3. Step 3: Cross multiply
    10,689.65x = 14,750.69 × 6,213.34
  4. Step 4: Simplify right side
    10,689.65x = 91,651,052.20
  5. Step 5: Solve for x
    x = 91,651,052.20/10,689.65
  6. Step 6: Final answer
    x = 8,573.81

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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.