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Finding the Fourth Proportional to 13,011.84, 19,413 and 11,365.92

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Solution

The fourth proportional to 13,011.84, 19,413 and 11,365.92 is: 16,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.84 : 19,413 = 11,365.92 : x
  2. Step 2: Convert to fraction form
    13,011.84/19,413 = 11,365.92/x
  3. Step 3: Cross multiply
    13,011.84x = 19,413 × 11,365.92
  4. Step 4: Simplify right side
    13,011.84x = 220,646,604.96
  5. Step 5: Solve for x
    x = 220,646,604.96/13,011.84
  6. Step 6: Final answer
    x = 16,957.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.