Home / 31,083-46,631.88-10,306.50

Finding the Fourth Proportional to 31,083, 46,631.88 and 10,306.50

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Solution

The fourth proportional to 31,083, 46,631.88 and 10,306.50 is: 15,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,083 : 46,631.88 = 10,306.50 : x
  2. Step 2: Convert to fraction form
    31,083/46,631.88 = 10,306.50/x
  3. Step 3: Cross multiply
    31,083x = 46,631.88 × 10,306.50
  4. Step 4: Simplify right side
    31,083x = 480,611,471.22
  5. Step 5: Solve for x
    x = 480,611,471.22/31,083
  6. Step 6: Final answer
    x = 15,462.20

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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.