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Finding the Fourth Proportional to 31,893, 47,846.34 and 9,708.18

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Solution

The fourth proportional to 31,893, 47,846.34 and 9,708.18 is: 14,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893 : 47,846.34 = 9,708.18 : x
  2. Step 2: Convert to fraction form
    31,893/47,846.34 = 9,708.18/x
  3. Step 3: Cross multiply
    31,893x = 47,846.34 × 9,708.18
  4. Step 4: Simplify right side
    31,893x = 464,500,881.06
  5. Step 5: Solve for x
    x = 464,500,881.06/31,893
  6. Step 6: Final answer
    x = 14,564.35

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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.