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Finding the Fourth Proportional to 31,317.56, 46,978.55 and 12,597.70

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Solution

The fourth proportional to 31,317.56, 46,978.55 and 12,597.70 is: 18,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,317.56 : 46,978.55 = 12,597.70 : x
  2. Step 2: Convert to fraction form
    31,317.56/46,978.55 = 12,597.70/x
  3. Step 3: Cross multiply
    31,317.56x = 46,978.55 × 12,597.70
  4. Step 4: Simplify right side
    31,317.56x = 591,821,679.34
  5. Step 5: Solve for x
    x = 591,821,679.34/31,317.56
  6. Step 6: Final answer
    x = 18,897.44

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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.