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Finding the Fourth Proportional to 14,331, 19,776.81 and 8,043.54

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Solution

The fourth proportional to 14,331, 19,776.81 and 8,043.54 is: 11,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331 : 19,776.81 = 8,043.54 : x
  2. Step 2: Convert to fraction form
    14,331/19,776.81 = 8,043.54/x
  3. Step 3: Cross multiply
    14,331x = 19,776.81 × 8,043.54
  4. Step 4: Simplify right side
    14,331x = 159,075,562.31
  5. Step 5: Solve for x
    x = 159,075,562.31/14,331
  6. Step 6: Final answer
    x = 11,100.10

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1.5x scale

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.