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Finding the Fourth Proportional to 20,474.67, 30,710.78 and 12,045.91

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Solution

The fourth proportional to 20,474.67, 30,710.78 and 12,045.91 is: 18,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.67 : 30,710.78 = 12,045.91 : x
  2. Step 2: Convert to fraction form
    20,474.67/30,710.78 = 12,045.91/x
  3. Step 3: Cross multiply
    20,474.67x = 30,710.78 × 12,045.91
  4. Step 4: Simplify right side
    20,474.67x = 369,939,322.02
  5. Step 5: Solve for x
    x = 369,939,322.02/20,474.67
  6. Step 6: Final answer
    x = 18,068.15

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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.