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Finding the Fourth Proportional to 20,547, 30,820.50 and 11,775.96

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Solution

The fourth proportional to 20,547, 30,820.50 and 11,775.96 is: 17,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547 : 30,820.50 = 11,775.96 : x
  2. Step 2: Convert to fraction form
    20,547/30,820.50 = 11,775.96/x
  3. Step 3: Cross multiply
    20,547x = 30,820.50 × 11,775.96
  4. Step 4: Simplify right side
    20,547x = 362,940,975.18
  5. Step 5: Solve for x
    x = 362,940,975.18/20,547
  6. Step 6: Final answer
    x = 17,663.94

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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.