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Finding the Fourth Proportional to 31,881.81, 47,820.98 and 9,693.46

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Solution

The fourth proportional to 31,881.81, 47,820.98 and 9,693.46 is: 14,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,881.81 : 47,820.98 = 9,693.46 : x
  2. Step 2: Convert to fraction form
    31,881.81/47,820.98 = 9,693.46/x
  3. Step 3: Cross multiply
    31,881.81x = 47,820.98 × 9,693.46
  4. Step 4: Simplify right side
    31,881.81x = 463,550,712.21
  5. Step 5: Solve for x
    x = 463,550,712.21/31,881.81
  6. Step 6: Final answer
    x = 14,539.66

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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.