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Finding the Fourth Proportional to 20,365, 30,547.20 and 5,573.92

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Solution

The fourth proportional to 20,365, 30,547.20 and 5,573.92 is: 8,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,365 : 30,547.20 = 5,573.92 : x
  2. Step 2: Convert to fraction form
    20,365/30,547.20 = 5,573.92/x
  3. Step 3: Cross multiply
    20,365x = 30,547.20 × 5,573.92
  4. Step 4: Simplify right side
    20,365x = 170,267,649.02
  5. Step 5: Solve for x
    x = 170,267,649.02/20,365
  6. Step 6: Final answer
    x = 8,360.80

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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.