Home / 7,828.40-11,746.77-3,148.98

Finding the Fourth Proportional to 7,828.40, 11,746.77 and 3,148.98

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Solution

The fourth proportional to 7,828.40, 11,746.77 and 3,148.98 is: 4,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.40 : 11,746.77 = 3,148.98 : x
  2. Step 2: Convert to fraction form
    7,828.40/11,746.77 = 3,148.98/x
  3. Step 3: Cross multiply
    7,828.40x = 11,746.77 × 3,148.98
  4. Step 4: Simplify right side
    7,828.40x = 36,990,305.65
  5. Step 5: Solve for x
    x = 36,990,305.65/7,828.40
  6. Step 6: Final answer
    x = 4,725.14

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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.