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Finding the Fourth Proportional to 31,232, 46,854.48 and 12,764

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Solution

The fourth proportional to 31,232, 46,854.48 and 12,764 is: 19,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,232 : 46,854.48 = 12,764 : x
  2. Step 2: Convert to fraction form
    31,232/46,854.48 = 12,764/x
  3. Step 3: Cross multiply
    31,232x = 46,854.48 × 12,764
  4. Step 4: Simplify right side
    31,232x = 598,050,582.72
  5. Step 5: Solve for x
    x = 598,050,582.72/31,232
  6. Step 6: Final answer
    x = 19,148.65

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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.