Home / 20,865-31,292.76-6,070.68

Finding the Fourth Proportional to 20,865, 31,292.76 and 6,070.68

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Solution

The fourth proportional to 20,865, 31,292.76 and 6,070.68 is: 9,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865 : 31,292.76 = 6,070.68 : x
  2. Step 2: Convert to fraction form
    20,865/31,292.76 = 6,070.68/x
  3. Step 3: Cross multiply
    20,865x = 31,292.76 × 6,070.68
  4. Step 4: Simplify right side
    20,865x = 189,968,332.28
  5. Step 5: Solve for x
    x = 189,968,332.28/20,865
  6. Step 6: Final answer
    x = 9,104.64

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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.