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Finding the Fourth Proportional to 31,230, 46,851.48 and 12,762

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Solution

The fourth proportional to 31,230, 46,851.48 and 12,762 is: 19,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,230 : 46,851.48 = 12,762 : x
  2. Step 2: Convert to fraction form
    31,230/46,851.48 = 12,762/x
  3. Step 3: Cross multiply
    31,230x = 46,851.48 × 12,762
  4. Step 4: Simplify right side
    31,230x = 597,918,587.76
  5. Step 5: Solve for x
    x = 597,918,587.76/31,230
  6. Step 6: Final answer
    x = 19,145.65

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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.