Home / 51,913.12-77,874-31,267.84

Finding the Fourth Proportional to 51,913.12, 77,874 and 31,267.84

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Solution

The fourth proportional to 51,913.12, 77,874 and 31,267.84 is: 46,904.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,913.12 : 77,874 = 31,267.84 : x
  2. Step 2: Convert to fraction form
    51,913.12/77,874 = 31,267.84/x
  3. Step 3: Cross multiply
    51,913.12x = 77,874 × 31,267.84
  4. Step 4: Simplify right side
    51,913.12x = 2,434,951,772.16
  5. Step 5: Solve for x
    x = 2,434,951,772.16/51,913.12
  6. Step 6: Final answer
    x = 46,904.36

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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.