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Finding the Fourth Proportional to 8,461.98, 11,678.91 and 5,807.22

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Solution

The fourth proportional to 8,461.98, 11,678.91 and 5,807.22 is: 8,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.98 : 11,678.91 = 5,807.22 : x
  2. Step 2: Convert to fraction form
    8,461.98/11,678.91 = 5,807.22/x
  3. Step 3: Cross multiply
    8,461.98x = 11,678.91 × 5,807.22
  4. Step 4: Simplify right side
    8,461.98x = 67,821,999.73
  5. Step 5: Solve for x
    x = 67,821,999.73/8,461.98
  6. Step 6: Final answer
    x = 8,014.91

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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.