Home / 31,082-46,630.38-10,305.50

Finding the Fourth Proportional to 31,082, 46,630.38 and 10,305.50

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Solution

The fourth proportional to 31,082, 46,630.38 and 10,305.50 is: 15,460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082 : 46,630.38 = 10,305.50 : x
  2. Step 2: Convert to fraction form
    31,082/46,630.38 = 10,305.50/x
  3. Step 3: Cross multiply
    31,082x = 46,630.38 × 10,305.50
  4. Step 4: Simplify right side
    31,082x = 480,549,381.09
  5. Step 5: Solve for x
    x = 480,549,381.09/31,082
  6. Step 6: Final answer
    x = 15,460.70

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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.