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Finding the Fourth Proportional to 31,607.29, 47,410.91 and 9,420.09

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Solution

The fourth proportional to 31,607.29, 47,410.91 and 9,420.09 is: 14,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,607.29 : 47,410.91 = 9,420.09 : x
  2. Step 2: Convert to fraction form
    31,607.29/47,410.91 = 9,420.09/x
  3. Step 3: Cross multiply
    31,607.29x = 47,410.91 × 9,420.09
  4. Step 4: Simplify right side
    31,607.29x = 446,614,992.08
  5. Step 5: Solve for x
    x = 446,614,992.08/31,607.29
  6. Step 6: Final answer
    x = 14,130.13

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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.