Home / 7,830.87-11,747.97-2,565.50

Finding the Fourth Proportional to 7,830.87, 11,747.97 and 2,565.50

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Solution

The fourth proportional to 7,830.87, 11,747.97 and 2,565.50 is: 3,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.87 : 11,747.97 = 2,565.50 : x
  2. Step 2: Convert to fraction form
    7,830.87/11,747.97 = 2,565.50/x
  3. Step 3: Cross multiply
    7,830.87x = 11,747.97 × 2,565.50
  4. Step 4: Simplify right side
    7,830.87x = 30,139,417.04
  5. Step 5: Solve for x
    x = 30,139,417.04/7,830.87
  6. Step 6: Final answer
    x = 3,848.80

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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.