Home / 7,124.16-9,829.92-4,140

Finding the Fourth Proportional to 7,124.16, 9,829.92 and 4,140

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Solution

The fourth proportional to 7,124.16, 9,829.92 and 4,140 is: 5,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.16 : 9,829.92 = 4,140 : x
  2. Step 2: Convert to fraction form
    7,124.16/9,829.92 = 4,140/x
  3. Step 3: Cross multiply
    7,124.16x = 9,829.92 × 4,140
  4. Step 4: Simplify right side
    7,124.16x = 40,695,868.80
  5. Step 5: Solve for x
    x = 40,695,868.80/7,124.16
  6. Step 6: Final answer
    x = 5,712.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.