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Finding the Fourth Proportional to 10,720, 16,073.10 and 4,478.34

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Solution

The fourth proportional to 10,720, 16,073.10 and 4,478.34 is: 6,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720 : 16,073.10 = 4,478.34 : x
  2. Step 2: Convert to fraction form
    10,720/16,073.10 = 4,478.34/x
  3. Step 3: Cross multiply
    10,720x = 16,073.10 × 4,478.34
  4. Step 4: Simplify right side
    10,720x = 71,980,806.65
  5. Step 5: Solve for x
    x = 71,980,806.65/10,720
  6. Step 6: Final answer
    x = 6,714.63

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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.