Home / 7,824.72-11,739-2,278.11

Finding the Fourth Proportional to 7,824.72, 11,739 and 2,278.11

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Solution

The fourth proportional to 7,824.72, 11,739 and 2,278.11 is: 3,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.72 : 11,739 = 2,278.11 : x
  2. Step 2: Convert to fraction form
    7,824.72/11,739 = 2,278.11/x
  3. Step 3: Cross multiply
    7,824.72x = 11,739 × 2,278.11
  4. Step 4: Simplify right side
    7,824.72x = 26,742,733.29
  5. Step 5: Solve for x
    x = 26,742,733.29/7,824.72
  6. Step 6: Final answer
    x = 3,417.72

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1.5x scale

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.