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Finding the Fourth Proportional to 15,668.65, 23,490.64 and 7,765.73

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Solution

The fourth proportional to 15,668.65, 23,490.64 and 7,765.73 is: 11,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,668.65 : 23,490.64 = 7,765.73 : x
  2. Step 2: Convert to fraction form
    15,668.65/23,490.64 = 7,765.73/x
  3. Step 3: Cross multiply
    15,668.65x = 23,490.64 × 7,765.73
  4. Step 4: Simplify right side
    15,668.65x = 182,421,967.77
  5. Step 5: Solve for x
    x = 182,421,967.77/15,668.65
  6. Step 6: Final answer
    x = 11,642.48

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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.