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Finding the Fourth Proportional to 3,470.65, 5,206.80 and 1,130.67

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Solution

The fourth proportional to 3,470.65, 5,206.80 and 1,130.67 is: 1,696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.65 : 5,206.80 = 1,130.67 : x
  2. Step 2: Convert to fraction form
    3,470.65/5,206.80 = 1,130.67/x
  3. Step 3: Cross multiply
    3,470.65x = 5,206.80 × 1,130.67
  4. Step 4: Simplify right side
    3,470.65x = 5,887,172.56
  5. Step 5: Solve for x
    x = 5,887,172.56/3,470.65
  6. Step 6: Final answer
    x = 1,696.27

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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.