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Finding the Fourth Proportional to 32,985.72, 49,458.62 and 12,971.22

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Solution

The fourth proportional to 32,985.72, 49,458.62 and 12,971.22 is: 19,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,985.72 : 49,458.62 = 12,971.22 : x
  2. Step 2: Convert to fraction form
    32,985.72/49,458.62 = 12,971.22/x
  3. Step 3: Cross multiply
    32,985.72x = 49,458.62 × 12,971.22
  4. Step 4: Simplify right side
    32,985.72x = 641,538,576.06
  5. Step 5: Solve for x
    x = 641,538,576.06/32,985.72
  6. Step 6: Final answer
    x = 19,448.98

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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.