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Finding the Fourth Proportional to 19,043, 28,581.82 and 9,689.32

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Solution

The fourth proportional to 19,043, 28,581.82 and 9,689.32 is: 14,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,043 : 28,581.82 = 9,689.32 : x
  2. Step 2: Convert to fraction form
    19,043/28,581.82 = 9,689.32/x
  3. Step 3: Cross multiply
    19,043x = 28,581.82 × 9,689.32
  4. Step 4: Simplify right side
    19,043x = 276,938,400.16
  5. Step 5: Solve for x
    x = 276,938,400.16/19,043
  6. Step 6: Final answer
    x = 14,542.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.