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Finding the Fourth Proportional to 12,347.70, 18,521.55 and 7,414.80

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Solution

The fourth proportional to 12,347.70, 18,521.55 and 7,414.80 is: 11,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.70 : 18,521.55 = 7,414.80 : x
  2. Step 2: Convert to fraction form
    12,347.70/18,521.55 = 7,414.80/x
  3. Step 3: Cross multiply
    12,347.70x = 18,521.55 × 7,414.80
  4. Step 4: Simplify right side
    12,347.70x = 137,333,588.94
  5. Step 5: Solve for x
    x = 137,333,588.94/12,347.70
  6. Step 6: Final answer
    x = 11,122.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.