Home / 31,854-47,779.11-9,667.56

Finding the Fourth Proportional to 31,854, 47,779.11 and 9,667.56

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Solution

The fourth proportional to 31,854, 47,779.11 and 9,667.56 is: 14,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854 : 47,779.11 = 9,667.56 : x
  2. Step 2: Convert to fraction form
    31,854/47,779.11 = 9,667.56/x
  3. Step 3: Cross multiply
    31,854x = 47,779.11 × 9,667.56
  4. Step 4: Simplify right side
    31,854x = 461,907,412.67
  5. Step 5: Solve for x
    x = 461,907,412.67/31,854
  6. Step 6: Final answer
    x = 14,500.77

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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.