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Finding the Fourth Proportional to 8,270, 11,417.88 and 5,751.20

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Solution

The fourth proportional to 8,270, 11,417.88 and 5,751.20 is: 7,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270 : 11,417.88 = 5,751.20 : x
  2. Step 2: Convert to fraction form
    8,270/11,417.88 = 5,751.20/x
  3. Step 3: Cross multiply
    8,270x = 11,417.88 × 5,751.20
  4. Step 4: Simplify right side
    8,270x = 65,666,511.46
  5. Step 5: Solve for x
    x = 65,666,511.46/8,270
  6. Step 6: Final answer
    x = 7,940.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.