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Finding the Fourth Proportional to 10,611.48, 14,633.66 and 7,024.80

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Solution

The fourth proportional to 10,611.48, 14,633.66 and 7,024.80 is: 9,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.48 : 14,633.66 = 7,024.80 : x
  2. Step 2: Convert to fraction form
    10,611.48/14,633.66 = 7,024.80/x
  3. Step 3: Cross multiply
    10,611.48x = 14,633.66 × 7,024.80
  4. Step 4: Simplify right side
    10,611.48x = 102,798,534.77
  5. Step 5: Solve for x
    x = 102,798,534.77/10,611.48
  6. Step 6: Final answer
    x = 9,687.48

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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.