Home / 7,830.68-11,746.01-3,149.28

Finding the Fourth Proportional to 7,830.68, 11,746.01 and 3,149.28

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Solution

The fourth proportional to 7,830.68, 11,746.01 and 3,149.28 is: 4,723.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.68 : 11,746.01 = 3,149.28 : x
  2. Step 2: Convert to fraction form
    7,830.68/11,746.01 = 3,149.28/x
  3. Step 3: Cross multiply
    7,830.68x = 11,746.01 × 3,149.28
  4. Step 4: Simplify right side
    7,830.68x = 36,991,482.25
  5. Step 5: Solve for x
    x = 36,991,482.25/7,830.68
  6. Step 6: Final answer
    x = 4,723.92

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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.