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Finding the Fourth Proportional to 8,461.75, 11,675.60 and 5,477.17

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Solution

The fourth proportional to 8,461.75, 11,675.60 and 5,477.17 is: 7,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.75 : 11,675.60 = 5,477.17 : x
  2. Step 2: Convert to fraction form
    8,461.75/11,675.60 = 5,477.17/x
  3. Step 3: Cross multiply
    8,461.75x = 11,675.60 × 5,477.17
  4. Step 4: Simplify right side
    8,461.75x = 63,949,218.67
  5. Step 5: Solve for x
    x = 63,949,218.67/8,461.75
  6. Step 6: Final answer
    x = 7,557.45

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