Home / 20,858.24-31,280.88-7,004

Finding the Fourth Proportional to 20,858.24, 31,280.88 and 7,004

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Solution

The fourth proportional to 20,858.24, 31,280.88 and 7,004 is: 10,503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,858.24 : 31,280.88 = 7,004 : x
  2. Step 2: Convert to fraction form
    20,858.24/31,280.88 = 7,004/x
  3. Step 3: Cross multiply
    20,858.24x = 31,280.88 × 7,004
  4. Step 4: Simplify right side
    20,858.24x = 219,091,283.52
  5. Step 5: Solve for x
    x = 219,091,283.52/20,858.24
  6. Step 6: Final answer
    x = 10,503.82

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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.