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Finding the Fourth Proportional to 19,873.46, 27,417.51 and 12,804

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Solution

The fourth proportional to 19,873.46, 27,417.51 and 12,804 is: 17,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873.46 : 27,417.51 = 12,804 : x
  2. Step 2: Convert to fraction form
    19,873.46/27,417.51 = 12,804/x
  3. Step 3: Cross multiply
    19,873.46x = 27,417.51 × 12,804
  4. Step 4: Simplify right side
    19,873.46x = 351,053,798.04
  5. Step 5: Solve for x
    x = 351,053,798.04/19,873.46
  6. Step 6: Final answer
    x = 17,664.45

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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.