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Finding the Fourth Proportional to 13,688.10, 19,176.30 and 13,688.10

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Solution

The fourth proportional to 13,688.10, 19,176.30 and 13,688.10 is: 19,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.10 : 19,176.30 = 13,688.10 : x
  2. Step 2: Convert to fraction form
    13,688.10/19,176.30 = 13,688.10/x
  3. Step 3: Cross multiply
    13,688.10x = 19,176.30 × 13,688.10
  4. Step 4: Simplify right side
    13,688.10x = 262,487,112.03
  5. Step 5: Solve for x
    x = 262,487,112.03/13,688.10
  6. Step 6: Final answer
    x = 19,176.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.