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Finding the Fourth Proportional to 3,650.76, 5,478.78 and 1,460.10

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Solution

The fourth proportional to 3,650.76, 5,478.78 and 1,460.10 is: 2,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.76 : 5,478.78 = 1,460.10 : x
  2. Step 2: Convert to fraction form
    3,650.76/5,478.78 = 1,460.10/x
  3. Step 3: Cross multiply
    3,650.76x = 5,478.78 × 1,460.10
  4. Step 4: Simplify right side
    3,650.76x = 7,999,566.68
  5. Step 5: Solve for x
    x = 7,999,566.68/3,650.76
  6. Step 6: Final answer
    x = 2,191.21

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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.