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Finding the Fourth Proportional to 3,710.47, 5,565.63 and 1,489.80

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Solution

The fourth proportional to 3,710.47, 5,565.63 and 1,489.80 is: 2,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.47 : 5,565.63 = 1,489.80 : x
  2. Step 2: Convert to fraction form
    3,710.47/5,565.63 = 1,489.80/x
  3. Step 3: Cross multiply
    3,710.47x = 5,565.63 × 1,489.80
  4. Step 4: Simplify right side
    3,710.47x = 8,291,668.13
  5. Step 5: Solve for x
    x = 8,291,668.13/3,710.47
  6. Step 6: Final answer
    x = 2,234.67

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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.