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Finding the Fourth Proportional to 31,608.24, 47,411.34 and 9,421.80

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Solution

The fourth proportional to 31,608.24, 47,411.34 and 9,421.80 is: 14,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,608.24 : 47,411.34 = 9,421.80 : x
  2. Step 2: Convert to fraction form
    31,608.24/47,411.34 = 9,421.80/x
  3. Step 3: Cross multiply
    31,608.24x = 47,411.34 × 9,421.80
  4. Step 4: Simplify right side
    31,608.24x = 446,700,163.21
  5. Step 5: Solve for x
    x = 446,700,163.21/31,608.24
  6. Step 6: Final answer
    x = 14,132.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.