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Finding the Fourth Proportional to 20,465.72, 30,699.20 and 7,985.24

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Solution

The fourth proportional to 20,465.72, 30,699.20 and 7,985.24 is: 11,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465.72 : 30,699.20 = 7,985.24 : x
  2. Step 2: Convert to fraction form
    20,465.72/30,699.20 = 7,985.24/x
  3. Step 3: Cross multiply
    20,465.72x = 30,699.20 × 7,985.24
  4. Step 4: Simplify right side
    20,465.72x = 245,140,479.81
  5. Step 5: Solve for x
    x = 245,140,479.81/20,465.72
  6. Step 6: Final answer
    x = 11,978.10

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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.