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Finding the Fourth Proportional to 24,730.50, 34,128.09 and 13,400.07

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Solution

The fourth proportional to 24,730.50, 34,128.09 and 13,400.07 is: 18,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,730.50 : 34,128.09 = 13,400.07 : x
  2. Step 2: Convert to fraction form
    24,730.50/34,128.09 = 13,400.07/x
  3. Step 3: Cross multiply
    24,730.50x = 34,128.09 × 13,400.07
  4. Step 4: Simplify right side
    24,730.50x = 457,318,794.97
  5. Step 5: Solve for x
    x = 457,318,794.97/24,730.50
  6. Step 6: Final answer
    x = 18,492.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.