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Finding the Fourth Proportional to 20,661.16, 30,985.98 and 7,511.08

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Solution

The fourth proportional to 20,661.16, 30,985.98 and 7,511.08 is: 11,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,661.16 : 30,985.98 = 7,511.08 : x
  2. Step 2: Convert to fraction form
    20,661.16/30,985.98 = 7,511.08/x
  3. Step 3: Cross multiply
    20,661.16x = 30,985.98 × 7,511.08
  4. Step 4: Simplify right side
    20,661.16x = 232,738,174.66
  5. Step 5: Solve for x
    x = 232,738,174.66/20,661.16
  6. Step 6: Final answer
    x = 11,264.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.