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Finding the Fourth Proportional to 21,477.79, 32,208.96 and 7,434

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Solution

The fourth proportional to 21,477.79, 32,208.96 and 7,434 is: 11,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477.79 : 32,208.96 = 7,434 : x
  2. Step 2: Convert to fraction form
    21,477.79/32,208.96 = 7,434/x
  3. Step 3: Cross multiply
    21,477.79x = 32,208.96 × 7,434
  4. Step 4: Simplify right side
    21,477.79x = 239,441,380.76
  5. Step 5: Solve for x
    x = 239,441,380.76/21,477.79
  6. Step 6: Final answer
    x = 11,148.33

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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.