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Finding the Fourth Proportional to 10,611.18, 14,640.75 and 7,072.02

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Solution

The fourth proportional to 10,611.18, 14,640.75 and 7,072.02 is: 9,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.18 : 14,640.75 = 7,072.02 : x
  2. Step 2: Convert to fraction form
    10,611.18/14,640.75 = 7,072.02/x
  3. Step 3: Cross multiply
    10,611.18x = 14,640.75 × 7,072.02
  4. Step 4: Simplify right side
    10,611.18x = 103,539,676.82
  5. Step 5: Solve for x
    x = 103,539,676.82/10,611.18
  6. Step 6: Final answer
    x = 9,757.60

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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.