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Finding the Fourth Proportional to 30,779.81, 46,163.08 and 9,721.49

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Solution

The fourth proportional to 30,779.81, 46,163.08 and 9,721.49 is: 14,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,779.81 : 46,163.08 = 9,721.49 : x
  2. Step 2: Convert to fraction form
    30,779.81/46,163.08 = 9,721.49/x
  3. Step 3: Cross multiply
    30,779.81x = 46,163.08 × 9,721.49
  4. Step 4: Simplify right side
    30,779.81x = 448,773,871.98
  5. Step 5: Solve for x
    x = 448,773,871.98/30,779.81
  6. Step 6: Final answer
    x = 14,580.14

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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.