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Finding the Fourth Proportional to 30,356, 45,541.68 and 8,468

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Solution

The fourth proportional to 30,356, 45,541.68 and 8,468 is: 12,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,356 : 45,541.68 = 8,468 : x
  2. Step 2: Convert to fraction form
    30,356/45,541.68 = 8,468/x
  3. Step 3: Cross multiply
    30,356x = 45,541.68 × 8,468
  4. Step 4: Simplify right side
    30,356x = 385,646,946.24
  5. Step 5: Solve for x
    x = 385,646,946.24/30,356
  6. Step 6: Final answer
    x = 12,704.14

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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.