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Finding the Fourth Proportional to 7,809.30, 11,706.30 and 3,128.04

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Solution

The fourth proportional to 7,809.30, 11,706.30 and 3,128.04 is: 4,689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.30 : 11,706.30 = 3,128.04 : x
  2. Step 2: Convert to fraction form
    7,809.30/11,706.30 = 3,128.04/x
  3. Step 3: Cross multiply
    7,809.30x = 11,706.30 × 3,128.04
  4. Step 4: Simplify right side
    7,809.30x = 36,617,774.65
  5. Step 5: Solve for x
    x = 36,617,774.65/7,809.30
  6. Step 6: Final answer
    x = 4,689.00

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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.