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Finding the Fourth Proportional to 13,610, 20,423.64 and 5,402

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Solution

The fourth proportional to 13,610, 20,423.64 and 5,402 is: 8,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,610 : 20,423.64 = 5,402 : x
  2. Step 2: Convert to fraction form
    13,610/20,423.64 = 5,402/x
  3. Step 3: Cross multiply
    13,610x = 20,423.64 × 5,402
  4. Step 4: Simplify right side
    13,610x = 110,328,503.28
  5. Step 5: Solve for x
    x = 110,328,503.28/13,610
  6. Step 6: Final answer
    x = 8,106.43

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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.