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Finding the Fourth Proportional to 14,594, 20,143.38 and 8,310.02

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Solution

The fourth proportional to 14,594, 20,143.38 and 8,310.02 is: 11,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594 : 20,143.38 = 8,310.02 : x
  2. Step 2: Convert to fraction form
    14,594/20,143.38 = 8,310.02/x
  3. Step 3: Cross multiply
    14,594x = 20,143.38 × 8,310.02
  4. Step 4: Simplify right side
    14,594x = 167,391,890.67
  5. Step 5: Solve for x
    x = 167,391,890.67/14,594
  6. Step 6: Final answer
    x = 11,469.91

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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.