Home / 7,823.16-11,730.08-3,145.40

Finding the Fourth Proportional to 7,823.16, 11,730.08 and 3,145.40

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Solution

The fourth proportional to 7,823.16, 11,730.08 and 3,145.40 is: 4,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.16 : 11,730.08 = 3,145.40 : x
  2. Step 2: Convert to fraction form
    7,823.16/11,730.08 = 3,145.40/x
  3. Step 3: Cross multiply
    7,823.16x = 11,730.08 × 3,145.40
  4. Step 4: Simplify right side
    7,823.16x = 36,895,793.63
  5. Step 5: Solve for x
    x = 36,895,793.63/7,823.16
  6. Step 6: Final answer
    x = 4,716.23

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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.