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Finding the Fourth Proportional to 31,854, 47,779.08 and 9,667.44

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Solution

The fourth proportional to 31,854, 47,779.08 and 9,667.44 is: 14,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854 : 47,779.08 = 9,667.44 : x
  2. Step 2: Convert to fraction form
    31,854/47,779.08 = 9,667.44/x
  3. Step 3: Cross multiply
    31,854x = 47,779.08 × 9,667.44
  4. Step 4: Simplify right side
    31,854x = 461,901,389.16
  5. Step 5: Solve for x
    x = 461,901,389.16/31,854
  6. Step 6: Final answer
    x = 14,500.58

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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.