Home / 31,172.31-46,734-14,530.14

Finding the Fourth Proportional to 31,172.31, 46,734 and 14,530.14

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Solution

The fourth proportional to 31,172.31, 46,734 and 14,530.14 is: 21,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,172.31 : 46,734 = 14,530.14 : x
  2. Step 2: Convert to fraction form
    31,172.31/46,734 = 14,530.14/x
  3. Step 3: Cross multiply
    31,172.31x = 46,734 × 14,530.14
  4. Step 4: Simplify right side
    31,172.31x = 679,051,562.76
  5. Step 5: Solve for x
    x = 679,051,562.76/31,172.31
  6. Step 6: Final answer
    x = 21,783.81

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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.