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Finding the Fourth Proportional to 8,415.90, 11,609.19 and 5,266.62

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Solution

The fourth proportional to 8,415.90, 11,609.19 and 5,266.62 is: 7,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.90 : 11,609.19 = 5,266.62 : x
  2. Step 2: Convert to fraction form
    8,415.90/11,609.19 = 5,266.62/x
  3. Step 3: Cross multiply
    8,415.90x = 11,609.19 × 5,266.62
  4. Step 4: Simplify right side
    8,415.90x = 61,141,192.24
  5. Step 5: Solve for x
    x = 61,141,192.24/8,415.90
  6. Step 6: Final answer
    x = 7,264.96

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1.5x scale

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.