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Finding the Fourth Proportional to 20,565.84, 30,848.77 and 7,418.21

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Solution

The fourth proportional to 20,565.84, 30,848.77 and 7,418.21 is: 11,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.84 : 30,848.77 = 7,418.21 : x
  2. Step 2: Convert to fraction form
    20,565.84/30,848.77 = 7,418.21/x
  3. Step 3: Cross multiply
    20,565.84x = 30,848.77 × 7,418.21
  4. Step 4: Simplify right side
    20,565.84x = 228,842,758.99
  5. Step 5: Solve for x
    x = 228,842,758.99/20,565.84
  6. Step 6: Final answer
    x = 11,127.32

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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.