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Finding the Fourth Proportional to 19,579, 27,041.46 and 12,894.50

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Solution

The fourth proportional to 19,579, 27,041.46 and 12,894.50 is: 17,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,579 : 27,041.46 = 12,894.50 : x
  2. Step 2: Convert to fraction form
    19,579/27,041.46 = 12,894.50/x
  3. Step 3: Cross multiply
    19,579x = 27,041.46 × 12,894.50
  4. Step 4: Simplify right side
    19,579x = 348,686,105.97
  5. Step 5: Solve for x
    x = 348,686,105.97/19,579
  6. Step 6: Final answer
    x = 17,809.19

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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.