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Finding the Fourth Proportional to 13,424.84, 18,526.84 and 7,456.48

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Solution

The fourth proportional to 13,424.84, 18,526.84 and 7,456.48 is: 10,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.84 : 18,526.84 = 7,456.48 : x
  2. Step 2: Convert to fraction form
    13,424.84/18,526.84 = 7,456.48/x
  3. Step 3: Cross multiply
    13,424.84x = 18,526.84 × 7,456.48
  4. Step 4: Simplify right side
    13,424.84x = 138,145,011.92
  5. Step 5: Solve for x
    x = 138,145,011.92/13,424.84
  6. Step 6: Final answer
    x = 10,290.25

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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.