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Finding the Fourth Proportional to 13,423.51, 18,524.10 and 7,454.98

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Solution

The fourth proportional to 13,423.51, 18,524.10 and 7,454.98 is: 10,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.51 : 18,524.10 = 7,454.98 : x
  2. Step 2: Convert to fraction form
    13,423.51/18,524.10 = 7,454.98/x
  3. Step 3: Cross multiply
    13,423.51x = 18,524.10 × 7,454.98
  4. Step 4: Simplify right side
    13,423.51x = 138,096,795.02
  5. Step 5: Solve for x
    x = 138,096,795.02/13,423.51
  6. Step 6: Final answer
    x = 10,287.68

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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.