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Finding the Fourth Proportional to 31,779.81, 47,669.78 and 13,046.81

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Solution

The fourth proportional to 31,779.81, 47,669.78 and 13,046.81 is: 19,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.81 : 47,669.78 = 13,046.81 : x
  2. Step 2: Convert to fraction form
    31,779.81/47,669.78 = 13,046.81/x
  3. Step 3: Cross multiply
    31,779.81x = 47,669.78 × 13,046.81
  4. Step 4: Simplify right side
    31,779.81x = 621,938,356.67
  5. Step 5: Solve for x
    x = 621,938,356.67/31,779.81
  6. Step 6: Final answer
    x = 19,570.24

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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.