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Finding the Fourth Proportional to 31,608.40, 47,415.30 and 9,420.40

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Solution

The fourth proportional to 31,608.40, 47,415.30 and 9,420.40 is: 14,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,608.40 : 47,415.30 = 9,420.40 : x
  2. Step 2: Convert to fraction form
    31,608.40/47,415.30 = 9,420.40/x
  3. Step 3: Cross multiply
    31,608.40x = 47,415.30 × 9,420.40
  4. Step 4: Simplify right side
    31,608.40x = 446,671,092.12
  5. Step 5: Solve for x
    x = 446,671,092.12/31,608.40
  6. Step 6: Final answer
    x = 14,131.40

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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.