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Finding the Fourth Proportional to 31,313, 46,958.64 and 12,587.48

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Solution

The fourth proportional to 31,313, 46,958.64 and 12,587.48 is: 18,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,313 : 46,958.64 = 12,587.48 : x
  2. Step 2: Convert to fraction form
    31,313/46,958.64 = 12,587.48/x
  3. Step 3: Cross multiply
    31,313x = 46,958.64 × 12,587.48
  4. Step 4: Simplify right side
    31,313x = 591,090,941.83
  5. Step 5: Solve for x
    x = 591,090,941.83/31,313
  6. Step 6: Final answer
    x = 18,876.85

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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.