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Finding the Fourth Proportional to 7,808.65, 11,719.04 and 5,453.35

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Solution

The fourth proportional to 7,808.65, 11,719.04 and 5,453.35 is: 8,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.65 : 11,719.04 = 5,453.35 : x
  2. Step 2: Convert to fraction form
    7,808.65/11,719.04 = 5,453.35/x
  3. Step 3: Cross multiply
    7,808.65x = 11,719.04 × 5,453.35
  4. Step 4: Simplify right side
    7,808.65x = 63,908,026.78
  5. Step 5: Solve for x
    x = 63,908,026.78/7,808.65
  6. Step 6: Final answer
    x = 8,184.26

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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.