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Finding the Fourth Proportional to 30,873.96, 46,311.17 and 8,689.59

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Solution

The fourth proportional to 30,873.96, 46,311.17 and 8,689.59 is: 13,034.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,873.96 : 46,311.17 = 8,689.59 : x
  2. Step 2: Convert to fraction form
    30,873.96/46,311.17 = 8,689.59/x
  3. Step 3: Cross multiply
    30,873.96x = 46,311.17 × 8,689.59
  4. Step 4: Simplify right side
    30,873.96x = 402,425,079.72
  5. Step 5: Solve for x
    x = 402,425,079.72/30,873.96
  6. Step 6: Final answer
    x = 13,034.45

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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.