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Finding the Fourth Proportional to 25,309.80, 37,964.16 and 7,779.24

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Solution

The fourth proportional to 25,309.80, 37,964.16 and 7,779.24 is: 11,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,309.80 : 37,964.16 = 7,779.24 : x
  2. Step 2: Convert to fraction form
    25,309.80/37,964.16 = 7,779.24/x
  3. Step 3: Cross multiply
    25,309.80x = 37,964.16 × 7,779.24
  4. Step 4: Simplify right side
    25,309.80x = 295,332,312.04
  5. Step 5: Solve for x
    x = 295,332,312.04/25,309.80
  6. Step 6: Final answer
    x = 11,668.69

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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.