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Finding the Fourth Proportional to 5,405.76, 7,460.08 and 2,983.21

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Solution

The fourth proportional to 5,405.76, 7,460.08 and 2,983.21 is: 4,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.76 : 7,460.08 = 2,983.21 : x
  2. Step 2: Convert to fraction form
    5,405.76/7,460.08 = 2,983.21/x
  3. Step 3: Cross multiply
    5,405.76x = 7,460.08 × 2,983.21
  4. Step 4: Simplify right side
    5,405.76x = 22,254,959.15
  5. Step 5: Solve for x
    x = 22,254,959.15/5,405.76
  6. Step 6: Final answer
    x = 4,116.90

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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.