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Finding the Fourth Proportional to 19,812, 27,341.24 and 13,360.32

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Solution

The fourth proportional to 19,812, 27,341.24 and 13,360.32 is: 18,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,812 : 27,341.24 = 13,360.32 : x
  2. Step 2: Convert to fraction form
    19,812/27,341.24 = 13,360.32/x
  3. Step 3: Cross multiply
    19,812x = 27,341.24 × 13,360.32
  4. Step 4: Simplify right side
    19,812x = 365,287,715.60
  5. Step 5: Solve for x
    x = 365,287,715.60/19,812
  6. Step 6: Final answer
    x = 18,437.70

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Why These Related Problems?

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