Home / 4,965-7,448.28-1,677.32

Finding the Fourth Proportional to 4,965, 7,448.28 and 1,677.32

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Solution

The fourth proportional to 4,965, 7,448.28 and 1,677.32 is: 2,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965 : 7,448.28 = 1,677.32 : x
  2. Step 2: Convert to fraction form
    4,965/7,448.28 = 1,677.32/x
  3. Step 3: Cross multiply
    4,965x = 7,448.28 × 1,677.32
  4. Step 4: Simplify right side
    4,965x = 12,493,149.01
  5. Step 5: Solve for x
    x = 12,493,149.01/4,965
  6. Step 6: Final answer
    x = 2,516.24

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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.