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Finding the Fourth Proportional to 21,048.19, 31,563 and 7,891.36

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Solution

The fourth proportional to 21,048.19, 31,563 and 7,891.36 is: 11,833.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.19 : 31,563 = 7,891.36 : x
  2. Step 2: Convert to fraction form
    21,048.19/31,563 = 7,891.36/x
  3. Step 3: Cross multiply
    21,048.19x = 31,563 × 7,891.36
  4. Step 4: Simplify right side
    21,048.19x = 249,074,916.77
  5. Step 5: Solve for x
    x = 249,074,916.77/21,048.19
  6. Step 6: Final answer
    x = 11,833.56

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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.