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Finding the Fourth Proportional to 13,809.79, 19,057.64 and 7,841.58

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Solution

The fourth proportional to 13,809.79, 19,057.64 and 7,841.58 is: 10,821.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.79 : 19,057.64 = 7,841.58 : x
  2. Step 2: Convert to fraction form
    13,809.79/19,057.64 = 7,841.58/x
  3. Step 3: Cross multiply
    13,809.79x = 19,057.64 × 7,841.58
  4. Step 4: Simplify right side
    13,809.79x = 149,442,113.93
  5. Step 5: Solve for x
    x = 149,442,113.93/13,809.79
  6. Step 6: Final answer
    x = 10,821.46

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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.