Home / 10,507.80-15,764-3,112.83

Finding the Fourth Proportional to 10,507.80, 15,764 and 3,112.83

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Solution

The fourth proportional to 10,507.80, 15,764 and 3,112.83 is: 4,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.80 : 15,764 = 3,112.83 : x
  2. Step 2: Convert to fraction form
    10,507.80/15,764 = 3,112.83/x
  3. Step 3: Cross multiply
    10,507.80x = 15,764 × 3,112.83
  4. Step 4: Simplify right side
    10,507.80x = 49,070,652.12
  5. Step 5: Solve for x
    x = 49,070,652.12/10,507.80
  6. Step 6: Final answer
    x = 4,669.93

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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.