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Finding the Fourth Proportional to 10,669, 15,980.46 and 6,706.84

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Solution

The fourth proportional to 10,669, 15,980.46 and 6,706.84 is: 10,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669 : 15,980.46 = 6,706.84 : x
  2. Step 2: Convert to fraction form
    10,669/15,980.46 = 6,706.84/x
  3. Step 3: Cross multiply
    10,669x = 15,980.46 × 6,706.84
  4. Step 4: Simplify right side
    10,669x = 107,178,388.35
  5. Step 5: Solve for x
    x = 107,178,388.35/10,669
  6. Step 6: Final answer
    x = 10,045.78

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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.