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Finding the Fourth Proportional to 21,653.40, 32,477.40 and 9,178.41

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Solution

The fourth proportional to 21,653.40, 32,477.40 and 9,178.41 is: 13,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653.40 : 32,477.40 = 9,178.41 : x
  2. Step 2: Convert to fraction form
    21,653.40/32,477.40 = 9,178.41/x
  3. Step 3: Cross multiply
    21,653.40x = 32,477.40 × 9,178.41
  4. Step 4: Simplify right side
    21,653.40x = 298,090,892.93
  5. Step 5: Solve for x
    x = 298,090,892.93/21,653.40
  6. Step 6: Final answer
    x = 13,766.47

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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.