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Finding the Fourth Proportional to 30,283, 45,426.76 and 8,095.86

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Solution

The fourth proportional to 30,283, 45,426.76 and 8,095.86 is: 12,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283 : 45,426.76 = 8,095.86 : x
  2. Step 2: Convert to fraction form
    30,283/45,426.76 = 8,095.86/x
  3. Step 3: Cross multiply
    30,283x = 45,426.76 × 8,095.86
  4. Step 4: Simplify right side
    30,283x = 367,768,689.21
  5. Step 5: Solve for x
    x = 367,768,689.21/30,283
  6. Step 6: Final answer
    x = 12,144.39

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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.