Home / 9,384-12,948.80-5,191.68

Finding the Fourth Proportional to 9,384, 12,948.80 and 5,191.68

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Solution

The fourth proportional to 9,384, 12,948.80 and 5,191.68 is: 7,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384 : 12,948.80 = 5,191.68 : x
  2. Step 2: Convert to fraction form
    9,384/12,948.80 = 5,191.68/x
  3. Step 3: Cross multiply
    9,384x = 12,948.80 × 5,191.68
  4. Step 4: Simplify right side
    9,384x = 67,226,025.98
  5. Step 5: Solve for x
    x = 67,226,025.98/9,384
  6. Step 6: Final answer
    x = 7,163.90

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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.