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Finding the Fourth Proportional to 30,844, 46,272.48 and 12,376

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Solution

The fourth proportional to 30,844, 46,272.48 and 12,376 is: 18,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,844 : 46,272.48 = 12,376 : x
  2. Step 2: Convert to fraction form
    30,844/46,272.48 = 12,376/x
  3. Step 3: Cross multiply
    30,844x = 46,272.48 × 12,376
  4. Step 4: Simplify right side
    30,844x = 572,668,212.48
  5. Step 5: Solve for x
    x = 572,668,212.48/30,844
  6. Step 6: Final answer
    x = 18,566.60

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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.