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Finding the Fourth Proportional to 13,875, 19,140.81 and 9,092.88

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Solution

The fourth proportional to 13,875, 19,140.81 and 9,092.88 is: 12,543.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875 : 19,140.81 = 9,092.88 : x
  2. Step 2: Convert to fraction form
    13,875/19,140.81 = 9,092.88/x
  3. Step 3: Cross multiply
    13,875x = 19,140.81 × 9,092.88
  4. Step 4: Simplify right side
    13,875x = 174,045,088.43
  5. Step 5: Solve for x
    x = 174,045,088.43/13,875
  6. Step 6: Final answer
    x = 12,543.79

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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.