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Finding the Fourth Proportional to 21,477.52, 32,204.36 and 7,430

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Solution

The fourth proportional to 21,477.52, 32,204.36 and 7,430 is: 11,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477.52 : 32,204.36 = 7,430 : x
  2. Step 2: Convert to fraction form
    21,477.52/32,204.36 = 7,430/x
  3. Step 3: Cross multiply
    21,477.52x = 32,204.36 × 7,430
  4. Step 4: Simplify right side
    21,477.52x = 239,278,394.80
  5. Step 5: Solve for x
    x = 239,278,394.80/21,477.52
  6. Step 6: Final answer
    x = 11,140.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.