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Finding the Fourth Proportional to 20,985, 31,477.52 and 8,673.32

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Solution

The fourth proportional to 20,985, 31,477.52 and 8,673.32 is: 13,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,985 : 31,477.52 = 8,673.32 : x
  2. Step 2: Convert to fraction form
    20,985/31,477.52 = 8,673.32/x
  3. Step 3: Cross multiply
    20,985x = 31,477.52 × 8,673.32
  4. Step 4: Simplify right side
    20,985x = 273,014,603.77
  5. Step 5: Solve for x
    x = 273,014,603.77/20,985
  6. Step 6: Final answer
    x = 13,009.99

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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.