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Finding the Fourth Proportional to 5,200.65, 7,802.20 and 1,690.67

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Solution

The fourth proportional to 5,200.65, 7,802.20 and 1,690.67 is: 2,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.65 : 7,802.20 = 1,690.67 : x
  2. Step 2: Convert to fraction form
    5,200.65/7,802.20 = 1,690.67/x
  3. Step 3: Cross multiply
    5,200.65x = 7,802.20 × 1,690.67
  4. Step 4: Simplify right side
    5,200.65x = 13,190,906.46
  5. Step 5: Solve for x
    x = 13,190,906.46/5,200.65
  6. Step 6: Final answer
    x = 2,536.40

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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.